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Finding the Fourth Proportional to 1,156.98, 1,597.96 and 843.65

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Solution

The fourth proportional to 1,156.98, 1,597.96 and 843.65 is: 1,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.98 : 1,597.96 = 843.65 : x
  2. Step 2: Convert to fraction form
    1,156.98/1,597.96 = 843.65/x
  3. Step 3: Cross multiply
    1,156.98x = 1,597.96 × 843.65
  4. Step 4: Simplify right side
    1,156.98x = 1,348,118.95
  5. Step 5: Solve for x
    x = 1,348,118.95/1,156.98
  6. Step 6: Final answer
    x = 1,165.21

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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.