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Finding the Fourth Proportional to 1,040.13, 1,434.98 and 597.87

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Solution

The fourth proportional to 1,040.13, 1,434.98 and 597.87 is: 824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.13 : 1,434.98 = 597.87 : x
  2. Step 2: Convert to fraction form
    1,040.13/1,434.98 = 597.87/x
  3. Step 3: Cross multiply
    1,040.13x = 1,434.98 × 597.87
  4. Step 4: Simplify right side
    1,040.13x = 857,932.99
  5. Step 5: Solve for x
    x = 857,932.99/1,040.13
  6. Step 6: Final answer
    x = 824.83

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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.