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Finding the Fourth Proportional to 864.60, 1,295.51 and 517.10

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Solution

The fourth proportional to 864.60, 1,295.51 and 517.10 is: 774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.60 : 1,295.51 = 517.10 : x
  2. Step 2: Convert to fraction form
    864.60/1,295.51 = 517.10/x
  3. Step 3: Cross multiply
    864.60x = 1,295.51 × 517.10
  4. Step 4: Simplify right side
    864.60x = 669,908.22
  5. Step 5: Solve for x
    x = 669,908.22/864.60
  6. Step 6: Final answer
    x = 774.82

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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.