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Finding the Fourth Proportional to 876.54, 1,315.35 and 794.43

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Solution

The fourth proportional to 876.54, 1,315.35 and 794.43 is: 1,192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.54 : 1,315.35 = 794.43 : x
  2. Step 2: Convert to fraction form
    876.54/1,315.35 = 794.43/x
  3. Step 3: Cross multiply
    876.54x = 1,315.35 × 794.43
  4. Step 4: Simplify right side
    876.54x = 1,044,953.50
  5. Step 5: Solve for x
    x = 1,044,953.50/876.54
  6. Step 6: Final answer
    x = 1,192.13

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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.