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Finding the Fourth Proportional to 1,046.30, 1,567.30 and 736.78

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Solution

The fourth proportional to 1,046.30, 1,567.30 and 736.78 is: 1,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.30 : 1,567.30 = 736.78 : x
  2. Step 2: Convert to fraction form
    1,046.30/1,567.30 = 736.78/x
  3. Step 3: Cross multiply
    1,046.30x = 1,567.30 × 736.78
  4. Step 4: Simplify right side
    1,046.30x = 1,154,755.29
  5. Step 5: Solve for x
    x = 1,154,755.29/1,046.30
  6. Step 6: Final answer
    x = 1,103.66

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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.