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Finding the Fourth Proportional to 1,652.84, 2,479.26 and 498.60

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Solution

The fourth proportional to 1,652.84, 2,479.26 and 498.60 is: 747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.84 : 2,479.26 = 498.60 : x
  2. Step 2: Convert to fraction form
    1,652.84/2,479.26 = 498.60/x
  3. Step 3: Cross multiply
    1,652.84x = 2,479.26 × 498.60
  4. Step 4: Simplify right side
    1,652.84x = 1,236,159.04
  5. Step 5: Solve for x
    x = 1,236,159.04/1,652.84
  6. Step 6: Final answer
    x = 747.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.