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Finding the Fourth Proportional to 876.97, 1,315.64 and 733.69

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Solution

The fourth proportional to 876.97, 1,315.64 and 733.69 is: 1,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.97 : 1,315.64 = 733.69 : x
  2. Step 2: Convert to fraction form
    876.97/1,315.64 = 733.69/x
  3. Step 3: Cross multiply
    876.97x = 1,315.64 × 733.69
  4. Step 4: Simplify right side
    876.97x = 965,271.91
  5. Step 5: Solve for x
    x = 965,271.91/876.97
  6. Step 6: Final answer
    x = 1,100.69

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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.