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Finding the Fourth Proportional to 697.53, 1,046.34 and 286.59

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Solution

The fourth proportional to 697.53, 1,046.34 and 286.59 is: 429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.53 : 1,046.34 = 286.59 : x
  2. Step 2: Convert to fraction form
    697.53/1,046.34 = 286.59/x
  3. Step 3: Cross multiply
    697.53x = 1,046.34 × 286.59
  4. Step 4: Simplify right side
    697.53x = 299,870.58
  5. Step 5: Solve for x
    x = 299,870.58/697.53
  6. Step 6: Final answer
    x = 429.90

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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.