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Finding the Fourth Proportional to 1,032.51, 1,424.87 and 560.41

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Solution

The fourth proportional to 1,032.51, 1,424.87 and 560.41 is: 773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.51 : 1,424.87 = 560.41 : x
  2. Step 2: Convert to fraction form
    1,032.51/1,424.87 = 560.41/x
  3. Step 3: Cross multiply
    1,032.51x = 1,424.87 × 560.41
  4. Step 4: Simplify right side
    1,032.51x = 798,507.61
  5. Step 5: Solve for x
    x = 798,507.61/1,032.51
  6. Step 6: Final answer
    x = 773.36

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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.