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Finding the Fourth Proportional to 1,295.10, 1,943.64 and 474.15

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Solution

The fourth proportional to 1,295.10, 1,943.64 and 474.15 is: 711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.10 : 1,943.64 = 474.15 : x
  2. Step 2: Convert to fraction form
    1,295.10/1,943.64 = 474.15/x
  3. Step 3: Cross multiply
    1,295.10x = 1,943.64 × 474.15
  4. Step 4: Simplify right side
    1,295.10x = 921,576.91
  5. Step 5: Solve for x
    x = 921,576.91/1,295.10
  6. Step 6: Final answer
    x = 711.59

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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.