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Finding the Fourth Proportional to 1,013.29, 1,398.47 and 571.33

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Solution

The fourth proportional to 1,013.29, 1,398.47 and 571.33 is: 788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.29 : 1,398.47 = 571.33 : x
  2. Step 2: Convert to fraction form
    1,013.29/1,398.47 = 571.33/x
  3. Step 3: Cross multiply
    1,013.29x = 1,398.47 × 571.33
  4. Step 4: Simplify right side
    1,013.29x = 798,978.02
  5. Step 5: Solve for x
    x = 798,978.02/1,013.29
  6. Step 6: Final answer
    x = 788.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.