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Finding the Fourth Proportional to 696.94, 1,046.06 and 437.41

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Solution

The fourth proportional to 696.94, 1,046.06 and 437.41 is: 656.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.94 : 1,046.06 = 437.41 : x
  2. Step 2: Convert to fraction form
    696.94/1,046.06 = 437.41/x
  3. Step 3: Cross multiply
    696.94x = 1,046.06 × 437.41
  4. Step 4: Simplify right side
    696.94x = 457,557.10
  5. Step 5: Solve for x
    x = 457,557.10/696.94
  6. Step 6: Final answer
    x = 656.52

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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.