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Finding the Fourth Proportional to 707.87, 1,061.67 and 296.90

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Solution

The fourth proportional to 707.87, 1,061.67 and 296.90 is: 445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.87 : 1,061.67 = 296.90 : x
  2. Step 2: Convert to fraction form
    707.87/1,061.67 = 296.90/x
  3. Step 3: Cross multiply
    707.87x = 1,061.67 × 296.90
  4. Step 4: Simplify right side
    707.87x = 315,204.51
  5. Step 5: Solve for x
    x = 315,204.51/707.87
  6. Step 6: Final answer
    x = 445.29

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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.