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Finding the Fourth Proportional to 1,127.18, 1,692.34 and 579.76

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Solution

The fourth proportional to 1,127.18, 1,692.34 and 579.76 is: 870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.18 : 1,692.34 = 579.76 : x
  2. Step 2: Convert to fraction form
    1,127.18/1,692.34 = 579.76/x
  3. Step 3: Cross multiply
    1,127.18x = 1,692.34 × 579.76
  4. Step 4: Simplify right side
    1,127.18x = 981,151.04
  5. Step 5: Solve for x
    x = 981,151.04/1,127.18
  6. Step 6: Final answer
    x = 870.45

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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.