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Finding the Fourth Proportional to 708.18, 1,061.84 and 297.10

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Solution

The fourth proportional to 708.18, 1,061.84 and 297.10 is: 445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.18 : 1,061.84 = 297.10 : x
  2. Step 2: Convert to fraction form
    708.18/1,061.84 = 297.10/x
  3. Step 3: Cross multiply
    708.18x = 1,061.84 × 297.10
  4. Step 4: Simplify right side
    708.18x = 315,471.18
  5. Step 5: Solve for x
    x = 315,471.18/708.18
  6. Step 6: Final answer
    x = 445.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.