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Finding the Fourth Proportional to 697.88, 1,046.05 and 307.47

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Solution

The fourth proportional to 697.88, 1,046.05 and 307.47 is: 460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.88 : 1,046.05 = 307.47 : x
  2. Step 2: Convert to fraction form
    697.88/1,046.05 = 307.47/x
  3. Step 3: Cross multiply
    697.88x = 1,046.05 × 307.47
  4. Step 4: Simplify right side
    697.88x = 321,625.46
  5. Step 5: Solve for x
    x = 321,625.46/697.88
  6. Step 6: Final answer
    x = 460.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.