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Finding the Fourth Proportional to 1,025.55, 1,534.01 and 748.53

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Solution

The fourth proportional to 1,025.55, 1,534.01 and 748.53 is: 1,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.55 : 1,534.01 = 748.53 : x
  2. Step 2: Convert to fraction form
    1,025.55/1,534.01 = 748.53/x
  3. Step 3: Cross multiply
    1,025.55x = 1,534.01 × 748.53
  4. Step 4: Simplify right side
    1,025.55x = 1,148,248.76
  5. Step 5: Solve for x
    x = 1,148,248.76/1,025.55
  6. Step 6: Final answer
    x = 1,119.64

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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.