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Finding the Fourth Proportional to 697.45, 1,047.57 and 437.62

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Solution

The fourth proportional to 697.45, 1,047.57 and 437.62 is: 657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.45 : 1,047.57 = 437.62 : x
  2. Step 2: Convert to fraction form
    697.45/1,047.57 = 437.62/x
  3. Step 3: Cross multiply
    697.45x = 1,047.57 × 437.62
  4. Step 4: Simplify right side
    697.45x = 458,437.58
  5. Step 5: Solve for x
    x = 458,437.58/697.45
  6. Step 6: Final answer
    x = 657.31

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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.