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Finding the Fourth Proportional to 1,532.48, 2,298.78 and 492.47

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Solution

The fourth proportional to 1,532.48, 2,298.78 and 492.47 is: 738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.48 : 2,298.78 = 492.47 : x
  2. Step 2: Convert to fraction form
    1,532.48/2,298.78 = 492.47/x
  3. Step 3: Cross multiply
    1,532.48x = 2,298.78 × 492.47
  4. Step 4: Simplify right side
    1,532.48x = 1,132,074.08
  5. Step 5: Solve for x
    x = 1,132,074.08/1,532.48
  6. Step 6: Final answer
    x = 738.72

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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.