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Finding the Fourth Proportional to 1,046.22, 1,567.67 and 552.62

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Solution

The fourth proportional to 1,046.22, 1,567.67 and 552.62 is: 828.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.22 : 1,567.67 = 552.62 : x
  2. Step 2: Convert to fraction form
    1,046.22/1,567.67 = 552.62/x
  3. Step 3: Cross multiply
    1,046.22x = 1,567.67 × 552.62
  4. Step 4: Simplify right side
    1,046.22x = 866,319.34
  5. Step 5: Solve for x
    x = 866,319.34/1,046.22
  6. Step 6: Final answer
    x = 828.04

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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.