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Finding the Fourth Proportional to 697.68, 1,046.34 and 312.84

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Solution

The fourth proportional to 697.68, 1,046.34 and 312.84 is: 469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.68 : 1,046.34 = 312.84 : x
  2. Step 2: Convert to fraction form
    697.68/1,046.34 = 312.84/x
  3. Step 3: Cross multiply
    697.68x = 1,046.34 × 312.84
  4. Step 4: Simplify right side
    697.68x = 327,337.01
  5. Step 5: Solve for x
    x = 327,337.01/697.68
  6. Step 6: Final answer
    x = 469.18

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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.