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Finding the Fourth Proportional to 1,576.14, 2,363.28 and 650.66

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Solution

The fourth proportional to 1,576.14, 2,363.28 and 650.66 is: 975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.14 : 2,363.28 = 650.66 : x
  2. Step 2: Convert to fraction form
    1,576.14/2,363.28 = 650.66/x
  3. Step 3: Cross multiply
    1,576.14x = 2,363.28 × 650.66
  4. Step 4: Simplify right side
    1,576.14x = 1,537,691.76
  5. Step 5: Solve for x
    x = 1,537,691.76/1,576.14
  6. Step 6: Final answer
    x = 975.61

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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.