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Finding the Fourth Proportional to 1,023.56, 1,535.19 and 374.14

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Solution

The fourth proportional to 1,023.56, 1,535.19 and 374.14 is: 561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.56 : 1,535.19 = 374.14 : x
  2. Step 2: Convert to fraction form
    1,023.56/1,535.19 = 374.14/x
  3. Step 3: Cross multiply
    1,023.56x = 1,535.19 × 374.14
  4. Step 4: Simplify right side
    1,023.56x = 574,375.99
  5. Step 5: Solve for x
    x = 574,375.99/1,023.56
  6. Step 6: Final answer
    x = 561.16

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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.