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Finding the Fourth Proportional to 1,652.32, 2,478.48 and 498.07

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Solution

The fourth proportional to 1,652.32, 2,478.48 and 498.07 is: 747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.32 : 2,478.48 = 498.07 : x
  2. Step 2: Convert to fraction form
    1,652.32/2,478.48 = 498.07/x
  3. Step 3: Cross multiply
    1,652.32x = 2,478.48 × 498.07
  4. Step 4: Simplify right side
    1,652.32x = 1,234,456.53
  5. Step 5: Solve for x
    x = 1,234,456.53/1,652.32
  6. Step 6: Final answer
    x = 747.11

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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.