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Finding the Fourth Proportional to 697.86, 1,046.57 and 307.76

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Solution

The fourth proportional to 697.86, 1,046.57 and 307.76 is: 461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.86 : 1,046.57 = 307.76 : x
  2. Step 2: Convert to fraction form
    697.86/1,046.57 = 307.76/x
  3. Step 3: Cross multiply
    697.86x = 1,046.57 × 307.76
  4. Step 4: Simplify right side
    697.86x = 322,085.61
  5. Step 5: Solve for x
    x = 322,085.61/697.86
  6. Step 6: Final answer
    x = 461.53

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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.