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Finding the Fourth Proportional to 697.88, 1,046.54 and 286.74

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Solution

The fourth proportional to 697.88, 1,046.54 and 286.74 is: 429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.88 : 1,046.54 = 286.74 : x
  2. Step 2: Convert to fraction form
    697.88/1,046.54 = 286.74/x
  3. Step 3: Cross multiply
    697.88x = 1,046.54 × 286.74
  4. Step 4: Simplify right side
    697.88x = 300,085.60
  5. Step 5: Solve for x
    x = 300,085.60/697.88
  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.