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Finding the Fourth Proportional to 706.64, 1,062.40 and 382.64

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Solution

The fourth proportional to 706.64, 1,062.40 and 382.64 is: 575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.64 : 1,062.40 = 382.64 : x
  2. Step 2: Convert to fraction form
    706.64/1,062.40 = 382.64/x
  3. Step 3: Cross multiply
    706.64x = 1,062.40 × 382.64
  4. Step 4: Simplify right side
    706.64x = 406,516.74
  5. Step 5: Solve for x
    x = 406,516.74/706.64
  6. Step 6: Final answer
    x = 575.28

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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.