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Finding the Fourth Proportional to 1,032.11, 1,424.31 and 560.01

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Solution

The fourth proportional to 1,032.11, 1,424.31 and 560.01 is: 772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.11 : 1,424.31 = 560.01 : x
  2. Step 2: Convert to fraction form
    1,032.11/1,424.31 = 560.01/x
  3. Step 3: Cross multiply
    1,032.11x = 1,424.31 × 560.01
  4. Step 4: Simplify right side
    1,032.11x = 797,627.84
  5. Step 5: Solve for x
    x = 797,627.84/1,032.11
  6. Step 6: Final answer
    x = 772.81

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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.