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Finding the Fourth Proportional to 675.54, 1,014.12 and 532.98

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Solution

The fourth proportional to 675.54, 1,014.12 and 532.98 is: 800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.54 : 1,014.12 = 532.98 : x
  2. Step 2: Convert to fraction form
    675.54/1,014.12 = 532.98/x
  3. Step 3: Cross multiply
    675.54x = 1,014.12 × 532.98
  4. Step 4: Simplify right side
    675.54x = 540,505.68
  5. Step 5: Solve for x
    x = 540,505.68/675.54
  6. Step 6: Final answer
    x = 800.11

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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.