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Finding the Fourth Proportional to 1,154.80, 1,731.57 and 790

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Solution

The fourth proportional to 1,154.80, 1,731.57 and 790 is: 1,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.80 : 1,731.57 = 790 : x
  2. Step 2: Convert to fraction form
    1,154.80/1,731.57 = 790/x
  3. Step 3: Cross multiply
    1,154.80x = 1,731.57 × 790
  4. Step 4: Simplify right side
    1,154.80x = 1,367,940.30
  5. Step 5: Solve for x
    x = 1,367,940.30/1,154.80
  6. Step 6: Final answer
    x = 1,184.57

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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.