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Finding the Fourth Proportional to 710.70, 1,064.61 and 466.62

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Solution

The fourth proportional to 710.70, 1,064.61 and 466.62 is: 698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.70 : 1,064.61 = 466.62 : x
  2. Step 2: Convert to fraction form
    710.70/1,064.61 = 466.62/x
  3. Step 3: Cross multiply
    710.70x = 1,064.61 × 466.62
  4. Step 4: Simplify right side
    710.70x = 496,768.32
  5. Step 5: Solve for x
    x = 496,768.32/710.70
  6. Step 6: Final answer
    x = 698.98

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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.