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Finding the Fourth Proportional to 1,149.76, 1,586.67 and 625.80

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Solution

The fourth proportional to 1,149.76, 1,586.67 and 625.80 is: 863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.76 : 1,586.67 = 625.80 : x
  2. Step 2: Convert to fraction form
    1,149.76/1,586.67 = 625.80/x
  3. Step 3: Cross multiply
    1,149.76x = 1,586.67 × 625.80
  4. Step 4: Simplify right side
    1,149.76x = 992,934.12
  5. Step 5: Solve for x
    x = 992,934.12/1,149.76
  6. Step 6: Final answer
    x = 863.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.