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Finding the Fourth Proportional to 1,023.11, 1,534.77 and 282.77

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Solution

The fourth proportional to 1,023.11, 1,534.77 and 282.77 is: 424.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.11 : 1,534.77 = 282.77 : x
  2. Step 2: Convert to fraction form
    1,023.11/1,534.77 = 282.77/x
  3. Step 3: Cross multiply
    1,023.11x = 1,534.77 × 282.77
  4. Step 4: Simplify right side
    1,023.11x = 433,989.17
  5. Step 5: Solve for x
    x = 433,989.17/1,023.11
  6. Step 6: Final answer
    x = 424.18

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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.