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Finding the Fourth Proportional to 1,024.14, 1,534.89 and 374.10

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Solution

The fourth proportional to 1,024.14, 1,534.89 and 374.10 is: 560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.14 : 1,534.89 = 374.10 : x
  2. Step 2: Convert to fraction form
    1,024.14/1,534.89 = 374.10/x
  3. Step 3: Cross multiply
    1,024.14x = 1,534.89 × 374.10
  4. Step 4: Simplify right side
    1,024.14x = 574,202.35
  5. Step 5: Solve for x
    x = 574,202.35/1,024.14
  6. Step 6: Final answer
    x = 560.67

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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.