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Finding the Fourth Proportional to 1,170.49, 1,757.45 and 782.91

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Solution

The fourth proportional to 1,170.49, 1,757.45 and 782.91 is: 1,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.49 : 1,757.45 = 782.91 : x
  2. Step 2: Convert to fraction form
    1,170.49/1,757.45 = 782.91/x
  3. Step 3: Cross multiply
    1,170.49x = 1,757.45 × 782.91
  4. Step 4: Simplify right side
    1,170.49x = 1,375,925.18
  5. Step 5: Solve for x
    x = 1,375,925.18/1,170.49
  6. Step 6: Final answer
    x = 1,175.51

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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.