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Finding the Fourth Proportional to 886.32, 1,222.68 and 532.06

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Solution

The fourth proportional to 886.32, 1,222.68 and 532.06 is: 733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.32 : 1,222.68 = 532.06 : x
  2. Step 2: Convert to fraction form
    886.32/1,222.68 = 532.06/x
  3. Step 3: Cross multiply
    886.32x = 1,222.68 × 532.06
  4. Step 4: Simplify right side
    886.32x = 650,539.12
  5. Step 5: Solve for x
    x = 650,539.12/886.32
  6. Step 6: Final answer
    x = 733.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.