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Finding the Fourth Proportional to 1,115.18, 1,669.66 and 566.18

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Solution

The fourth proportional to 1,115.18, 1,669.66 and 566.18 is: 847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.18 : 1,669.66 = 566.18 : x
  2. Step 2: Convert to fraction form
    1,115.18/1,669.66 = 566.18/x
  3. Step 3: Cross multiply
    1,115.18x = 1,669.66 × 566.18
  4. Step 4: Simplify right side
    1,115.18x = 945,328.10
  5. Step 5: Solve for x
    x = 945,328.10/1,115.18
  6. Step 6: Final answer
    x = 847.69

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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.