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Finding the Fourth Proportional to 1,577.13, 2,366.16 and 699.85

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Solution

The fourth proportional to 1,577.13, 2,366.16 and 699.85 is: 1,049.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.13 : 2,366.16 = 699.85 : x
  2. Step 2: Convert to fraction form
    1,577.13/2,366.16 = 699.85/x
  3. Step 3: Cross multiply
    1,577.13x = 2,366.16 × 699.85
  4. Step 4: Simplify right side
    1,577.13x = 1,655,957.08
  5. Step 5: Solve for x
    x = 1,655,957.08/1,577.13
  6. Step 6: Final answer
    x = 1,049.98

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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.