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Finding the Fourth Proportional to 1,454.13, 2,005.93 and 922.07

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Solution

The fourth proportional to 1,454.13, 2,005.93 and 922.07 is: 1,271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.13 : 2,005.93 = 922.07 : x
  2. Step 2: Convert to fraction form
    1,454.13/2,005.93 = 922.07/x
  3. Step 3: Cross multiply
    1,454.13x = 2,005.93 × 922.07
  4. Step 4: Simplify right side
    1,454.13x = 1,849,607.88
  5. Step 5: Solve for x
    x = 1,849,607.88/1,454.13
  6. Step 6: Final answer
    x = 1,271.97

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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.