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Finding the Fourth Proportional to 1,043.29, 1,567.37 and 897.49

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Solution

The fourth proportional to 1,043.29, 1,567.37 and 897.49 is: 1,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.29 : 1,567.37 = 897.49 : x
  2. Step 2: Convert to fraction form
    1,043.29/1,567.37 = 897.49/x
  3. Step 3: Cross multiply
    1,043.29x = 1,567.37 × 897.49
  4. Step 4: Simplify right side
    1,043.29x = 1,406,698.90
  5. Step 5: Solve for x
    x = 1,406,698.90/1,043.29
  6. Step 6: Final answer
    x = 1,348.33

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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.