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Finding the Fourth Proportional to 697.48, 1,046.32 and 210.53

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Solution

The fourth proportional to 697.48, 1,046.32 and 210.53 is: 315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.48 : 1,046.32 = 210.53 : x
  2. Step 2: Convert to fraction form
    697.48/1,046.32 = 210.53/x
  3. Step 3: Cross multiply
    697.48x = 1,046.32 × 210.53
  4. Step 4: Simplify right side
    697.48x = 220,283.84
  5. Step 5: Solve for x
    x = 220,283.84/697.48
  6. Step 6: Final answer
    x = 315.83

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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.