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Finding the Fourth Proportional to 763.32, 1,052.76 and 597.24

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Solution

The fourth proportional to 763.32, 1,052.76 and 597.24 is: 823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.32 : 1,052.76 = 597.24 : x
  2. Step 2: Convert to fraction form
    763.32/1,052.76 = 597.24/x
  3. Step 3: Cross multiply
    763.32x = 1,052.76 × 597.24
  4. Step 4: Simplify right side
    763.32x = 628,750.38
  5. Step 5: Solve for x
    x = 628,750.38/763.32
  6. Step 6: Final answer
    x = 823.70

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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.