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Finding the Fourth Proportional to 697.63, 1,046.91 and 312.88

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Solution

The fourth proportional to 697.63, 1,046.91 and 312.88 is: 469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.63 : 1,046.91 = 312.88 : x
  2. Step 2: Convert to fraction form
    697.63/1,046.91 = 312.88/x
  3. Step 3: Cross multiply
    697.63x = 1,046.91 × 312.88
  4. Step 4: Simplify right side
    697.63x = 327,557.20
  5. Step 5: Solve for x
    x = 327,557.20/697.63
  6. Step 6: Final answer
    x = 469.53

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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.