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Finding the Fourth Proportional to 864.54, 1,295.90 and 425.14

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Solution

The fourth proportional to 864.54, 1,295.90 and 425.14 is: 637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.54 : 1,295.90 = 425.14 : x
  2. Step 2: Convert to fraction form
    864.54/1,295.90 = 425.14/x
  3. Step 3: Cross multiply
    864.54x = 1,295.90 × 425.14
  4. Step 4: Simplify right side
    864.54x = 550,938.93
  5. Step 5: Solve for x
    x = 550,938.93/864.54
  6. Step 6: Final answer
    x = 637.26

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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.