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Finding the Fourth Proportional to 1,092.09, 1,506.92 and 626.25

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Solution

The fourth proportional to 1,092.09, 1,506.92 and 626.25 is: 864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.09 : 1,506.92 = 626.25 : x
  2. Step 2: Convert to fraction form
    1,092.09/1,506.92 = 626.25/x
  3. Step 3: Cross multiply
    1,092.09x = 1,506.92 × 626.25
  4. Step 4: Simplify right side
    1,092.09x = 943,705.52
  5. Step 5: Solve for x
    x = 943,705.52/1,092.09
  6. Step 6: Final answer
    x = 864.13

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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.