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Finding the Fourth Proportional to 708.43, 1,062.63 and 513.52

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Solution

The fourth proportional to 708.43, 1,062.63 and 513.52 is: 770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.43 : 1,062.63 = 513.52 : x
  2. Step 2: Convert to fraction form
    708.43/1,062.63 = 513.52/x
  3. Step 3: Cross multiply
    708.43x = 1,062.63 × 513.52
  4. Step 4: Simplify right side
    708.43x = 545,681.76
  5. Step 5: Solve for x
    x = 545,681.76/708.43
  6. Step 6: Final answer
    x = 770.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.