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Finding the Fourth Proportional to 1,062.88, 1,461.57 and 922.75

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Solution

The fourth proportional to 1,062.88, 1,461.57 and 922.75 is: 1,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.88 : 1,461.57 = 922.75 : x
  2. Step 2: Convert to fraction form
    1,062.88/1,461.57 = 922.75/x
  3. Step 3: Cross multiply
    1,062.88x = 1,461.57 × 922.75
  4. Step 4: Simplify right side
    1,062.88x = 1,348,663.31
  5. Step 5: Solve for x
    x = 1,348,663.31/1,062.88
  6. Step 6: Final answer
    x = 1,268.87

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.