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Finding the Fourth Proportional to 1,652.20, 2,478.32 and 497.96

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Solution

The fourth proportional to 1,652.20, 2,478.32 and 497.96 is: 746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.20 : 2,478.32 = 497.96 : x
  2. Step 2: Convert to fraction form
    1,652.20/2,478.32 = 497.96/x
  3. Step 3: Cross multiply
    1,652.20x = 2,478.32 × 497.96
  4. Step 4: Simplify right side
    1,652.20x = 1,234,104.23
  5. Step 5: Solve for x
    x = 1,234,104.23/1,652.20
  6. Step 6: Final answer
    x = 746.95

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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.