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Finding the Fourth Proportional to 1,092.32, 1,507.60 and 626.57

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Solution

The fourth proportional to 1,092.32, 1,507.60 and 626.57 is: 864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.32 : 1,507.60 = 626.57 : x
  2. Step 2: Convert to fraction form
    1,092.32/1,507.60 = 626.57/x
  3. Step 3: Cross multiply
    1,092.32x = 1,507.60 × 626.57
  4. Step 4: Simplify right side
    1,092.32x = 944,606.26
  5. Step 5: Solve for x
    x = 944,606.26/1,092.32
  6. Step 6: Final answer
    x = 864.77

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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.