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Finding the Fourth Proportional to 1,010.66, 1,515.56 and 385.85

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Solution

The fourth proportional to 1,010.66, 1,515.56 and 385.85 is: 578.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.66 : 1,515.56 = 385.85 : x
  2. Step 2: Convert to fraction form
    1,010.66/1,515.56 = 385.85/x
  3. Step 3: Cross multiply
    1,010.66x = 1,515.56 × 385.85
  4. Step 4: Simplify right side
    1,010.66x = 584,778.83
  5. Step 5: Solve for x
    x = 584,778.83/1,010.66
  6. Step 6: Final answer
    x = 578.61

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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.