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Finding the Fourth Proportional to 1,160.43, 1,748.62 and 959.51

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Solution

The fourth proportional to 1,160.43, 1,748.62 and 959.51 is: 1,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.43 : 1,748.62 = 959.51 : x
  2. Step 2: Convert to fraction form
    1,160.43/1,748.62 = 959.51/x
  3. Step 3: Cross multiply
    1,160.43x = 1,748.62 × 959.51
  4. Step 4: Simplify right side
    1,160.43x = 1,677,823.95
  5. Step 5: Solve for x
    x = 1,677,823.95/1,160.43
  6. Step 6: Final answer
    x = 1,445.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.