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Finding the Fourth Proportional to 706.76, 1,061.36 and 434.46

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Solution

The fourth proportional to 706.76, 1,061.36 and 434.46 is: 652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.76 : 1,061.36 = 434.46 : x
  2. Step 2: Convert to fraction form
    706.76/1,061.36 = 434.46/x
  3. Step 3: Cross multiply
    706.76x = 1,061.36 × 434.46
  4. Step 4: Simplify right side
    706.76x = 461,118.47
  5. Step 5: Solve for x
    x = 461,118.47/706.76
  6. Step 6: Final answer
    x = 652.44

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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.