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Finding the Fourth Proportional to 710.97, 1,065.08 and 466.76

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Solution

The fourth proportional to 710.97, 1,065.08 and 466.76 is: 699.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.97 : 1,065.08 = 466.76 : x
  2. Step 2: Convert to fraction form
    710.97/1,065.08 = 466.76/x
  3. Step 3: Cross multiply
    710.97x = 1,065.08 × 466.76
  4. Step 4: Simplify right side
    710.97x = 497,129.08
  5. Step 5: Solve for x
    x = 497,129.08/710.97
  6. Step 6: Final answer
    x = 699.23

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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.