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Finding the Fourth Proportional to 1,657.24, 2,484.78 and 546.52

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Solution

The fourth proportional to 1,657.24, 2,484.78 and 546.52 is: 819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.24 : 2,484.78 = 546.52 : x
  2. Step 2: Convert to fraction form
    1,657.24/2,484.78 = 546.52/x
  3. Step 3: Cross multiply
    1,657.24x = 2,484.78 × 546.52
  4. Step 4: Simplify right side
    1,657.24x = 1,357,981.97
  5. Step 5: Solve for x
    x = 1,357,981.97/1,657.24
  6. Step 6: Final answer
    x = 819.42

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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.