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Finding the Fourth Proportional to 1,033.32, 1,548.26 and 667.74

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Solution

The fourth proportional to 1,033.32, 1,548.26 and 667.74 is: 1,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.32 : 1,548.26 = 667.74 : x
  2. Step 2: Convert to fraction form
    1,033.32/1,548.26 = 667.74/x
  3. Step 3: Cross multiply
    1,033.32x = 1,548.26 × 667.74
  4. Step 4: Simplify right side
    1,033.32x = 1,033,835.13
  5. Step 5: Solve for x
    x = 1,033,835.13/1,033.32
  6. Step 6: Final answer
    x = 1,000.50

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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.