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Finding the Fourth Proportional to 1,023.53, 1,535.54 and 561.20

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Solution

The fourth proportional to 1,023.53, 1,535.54 and 561.20 is: 841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.53 : 1,535.54 = 561.20 : x
  2. Step 2: Convert to fraction form
    1,023.53/1,535.54 = 561.20/x
  3. Step 3: Cross multiply
    1,023.53x = 1,535.54 × 561.20
  4. Step 4: Simplify right side
    1,023.53x = 861,734.56
  5. Step 5: Solve for x
    x = 861,734.56/1,023.53
  6. Step 6: Final answer
    x = 841.93

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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.