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Finding the Fourth Proportional to 707.26, 1,061.20 and 296.48

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Solution

The fourth proportional to 707.26, 1,061.20 and 296.48 is: 444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.26 : 1,061.20 = 296.48 : x
  2. Step 2: Convert to fraction form
    707.26/1,061.20 = 296.48/x
  3. Step 3: Cross multiply
    707.26x = 1,061.20 × 296.48
  4. Step 4: Simplify right side
    707.26x = 314,624.58
  5. Step 5: Solve for x
    x = 314,624.58/707.26
  6. Step 6: Final answer
    x = 444.85

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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.