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Finding the Fourth Proportional to 697.46, 1,046.01 and 286.71

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Solution

The fourth proportional to 697.46, 1,046.01 and 286.71 is: 429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.46 : 1,046.01 = 286.71 : x
  2. Step 2: Convert to fraction form
    697.46/1,046.01 = 286.71/x
  3. Step 3: Cross multiply
    697.46x = 1,046.01 × 286.71
  4. Step 4: Simplify right side
    697.46x = 299,901.53
  5. Step 5: Solve for x
    x = 299,901.53/697.46
  6. Step 6: Final answer
    x = 429.99

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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.