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Finding the Fourth Proportional to 1,039.72, 1,434.76 and 597.61

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Solution

The fourth proportional to 1,039.72, 1,434.76 and 597.61 is: 824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.72 : 1,434.76 = 597.61 : x
  2. Step 2: Convert to fraction form
    1,039.72/1,434.76 = 597.61/x
  3. Step 3: Cross multiply
    1,039.72x = 1,434.76 × 597.61
  4. Step 4: Simplify right side
    1,039.72x = 857,430.58
  5. Step 5: Solve for x
    x = 857,430.58/1,039.72
  6. Step 6: Final answer
    x = 824.68

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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.