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Finding the Fourth Proportional to 1,023.11, 1,534.62 and 561.11

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Solution

The fourth proportional to 1,023.11, 1,534.62 and 561.11 is: 841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.11 : 1,534.62 = 561.11 : x
  2. Step 2: Convert to fraction form
    1,023.11/1,534.62 = 561.11/x
  3. Step 3: Cross multiply
    1,023.11x = 1,534.62 × 561.11
  4. Step 4: Simplify right side
    1,023.11x = 861,082.96
  5. Step 5: Solve for x
    x = 861,082.96/1,023.11
  6. Step 6: Final answer
    x = 841.64

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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.