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Finding the Fourth Proportional to 763.76, 1,052.57 and 597.71

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Solution

The fourth proportional to 763.76, 1,052.57 and 597.71 is: 823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.76 : 1,052.57 = 597.71 : x
  2. Step 2: Convert to fraction form
    763.76/1,052.57 = 597.71/x
  3. Step 3: Cross multiply
    763.76x = 1,052.57 × 597.71
  4. Step 4: Simplify right side
    763.76x = 629,123.36
  5. Step 5: Solve for x
    x = 629,123.36/763.76
  6. Step 6: Final answer
    x = 823.72

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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.