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Finding the Fourth Proportional to 1,167.12, 1,747.62 and 959.40

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Solution

The fourth proportional to 1,167.12, 1,747.62 and 959.40 is: 1,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.12 : 1,747.62 = 959.40 : x
  2. Step 2: Convert to fraction form
    1,167.12/1,747.62 = 959.40/x
  3. Step 3: Cross multiply
    1,167.12x = 1,747.62 × 959.40
  4. Step 4: Simplify right side
    1,167.12x = 1,676,666.63
  5. Step 5: Solve for x
    x = 1,676,666.63/1,167.12
  6. Step 6: Final answer
    x = 1,436.58

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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.