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Finding the Fourth Proportional to 862.64, 1,293.60 and 472.96

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Solution

The fourth proportional to 862.64, 1,293.60 and 472.96 is: 709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.64 : 1,293.60 = 472.96 : x
  2. Step 2: Convert to fraction form
    862.64/1,293.60 = 472.96/x
  3. Step 3: Cross multiply
    862.64x = 1,293.60 × 472.96
  4. Step 4: Simplify right side
    862.64x = 611,821.06
  5. Step 5: Solve for x
    x = 611,821.06/862.64
  6. Step 6: Final answer
    x = 709.24

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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.