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Finding the Fourth Proportional to 710.39, 1,064.76 and 271.23

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Solution

The fourth proportional to 710.39, 1,064.76 and 271.23 is: 406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.39 : 1,064.76 = 271.23 : x
  2. Step 2: Convert to fraction form
    710.39/1,064.76 = 271.23/x
  3. Step 3: Cross multiply
    710.39x = 1,064.76 × 271.23
  4. Step 4: Simplify right side
    710.39x = 288,794.85
  5. Step 5: Solve for x
    x = 288,794.85/710.39
  6. Step 6: Final answer
    x = 406.53

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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.