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Finding the Fourth Proportional to 657.59, 986.73 and 437.66

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Solution

The fourth proportional to 657.59, 986.73 and 437.66 is: 656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.59 : 986.73 = 437.66 : x
  2. Step 2: Convert to fraction form
    657.59/986.73 = 437.66/x
  3. Step 3: Cross multiply
    657.59x = 986.73 × 437.66
  4. Step 4: Simplify right side
    657.59x = 431,852.25
  5. Step 5: Solve for x
    x = 431,852.25/657.59
  6. Step 6: Final answer
    x = 656.72

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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.