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Finding the Fourth Proportional to 707.84, 1,061.52 and 296.86

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Solution

The fourth proportional to 707.84, 1,061.52 and 296.86 is: 445.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.84 : 1,061.52 = 296.86 : x
  2. Step 2: Convert to fraction form
    707.84/1,061.52 = 296.86/x
  3. Step 3: Cross multiply
    707.84x = 1,061.52 × 296.86
  4. Step 4: Simplify right side
    707.84x = 315,122.83
  5. Step 5: Solve for x
    x = 315,122.83/707.84
  6. Step 6: Final answer
    x = 445.19

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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.