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Finding the Fourth Proportional to 697.20, 1,046.30 and 466.53

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Solution

The fourth proportional to 697.20, 1,046.30 and 466.53 is: 700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.20 : 1,046.30 = 466.53 : x
  2. Step 2: Convert to fraction form
    697.20/1,046.30 = 466.53/x
  3. Step 3: Cross multiply
    697.20x = 1,046.30 × 466.53
  4. Step 4: Simplify right side
    697.20x = 488,130.34
  5. Step 5: Solve for x
    x = 488,130.34/697.20
  6. Step 6: Final answer
    x = 700.13

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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.