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Finding the Fourth Proportional to 1,652.90, 2,479.07 and 498.38

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Solution

The fourth proportional to 1,652.90, 2,479.07 and 498.38 is: 747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.90 : 2,479.07 = 498.38 : x
  2. Step 2: Convert to fraction form
    1,652.90/2,479.07 = 498.38/x
  3. Step 3: Cross multiply
    1,652.90x = 2,479.07 × 498.38
  4. Step 4: Simplify right side
    1,652.90x = 1,235,504.02
  5. Step 5: Solve for x
    x = 1,235,504.02/1,652.90
  6. Step 6: Final answer
    x = 747.48

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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.