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Finding the Fourth Proportional to 1,114.26, 1,669.64 and 565.70

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Solution

The fourth proportional to 1,114.26, 1,669.64 and 565.70 is: 847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.26 : 1,669.64 = 565.70 : x
  2. Step 2: Convert to fraction form
    1,114.26/1,669.64 = 565.70/x
  3. Step 3: Cross multiply
    1,114.26x = 1,669.64 × 565.70
  4. Step 4: Simplify right side
    1,114.26x = 944,515.35
  5. Step 5: Solve for x
    x = 944,515.35/1,114.26
  6. Step 6: Final answer
    x = 847.66

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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.