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Finding the Fourth Proportional to 1,432.64, 2,146.88 and 565.76

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Solution

The fourth proportional to 1,432.64, 2,146.88 and 565.76 is: 847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.64 : 2,146.88 = 565.76 : x
  2. Step 2: Convert to fraction form
    1,432.64/2,146.88 = 565.76/x
  3. Step 3: Cross multiply
    1,432.64x = 2,146.88 × 565.76
  4. Step 4: Simplify right side
    1,432.64x = 1,214,618.83
  5. Step 5: Solve for x
    x = 1,214,618.83/1,432.64
  6. Step 6: Final answer
    x = 847.82

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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.