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Finding the Fourth Proportional to 1,127.13, 1,690.94 and 477.85

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Solution

The fourth proportional to 1,127.13, 1,690.94 and 477.85 is: 716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.13 : 1,690.94 = 477.85 : x
  2. Step 2: Convert to fraction form
    1,127.13/1,690.94 = 477.85/x
  3. Step 3: Cross multiply
    1,127.13x = 1,690.94 × 477.85
  4. Step 4: Simplify right side
    1,127.13x = 808,013.29
  5. Step 5: Solve for x
    x = 808,013.29/1,127.13
  6. Step 6: Final answer
    x = 716.88

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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.