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Finding the Fourth Proportional to 763, 1,052.53 and 513.90

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Solution

The fourth proportional to 763, 1,052.53 and 513.90 is: 708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    763 : 1,052.53 = 513.90 : x
  2. Step 2: Convert to fraction form
    763/1,052.53 = 513.90/x
  3. Step 3: Cross multiply
    763x = 1,052.53 × 513.90
  4. Step 4: Simplify right side
    763x = 540,895.17
  5. Step 5: Solve for x
    x = 540,895.17/763
  6. Step 6: Final answer
    x = 708.91

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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.