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Finding the Fourth Proportional to 955.76, 1,438.52 and 814.80

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Solution

The fourth proportional to 955.76, 1,438.52 and 814.80 is: 1,226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.76 : 1,438.52 = 814.80 : x
  2. Step 2: Convert to fraction form
    955.76/1,438.52 = 814.80/x
  3. Step 3: Cross multiply
    955.76x = 1,438.52 × 814.80
  4. Step 4: Simplify right side
    955.76x = 1,172,106.10
  5. Step 5: Solve for x
    x = 1,172,106.10/955.76
  6. Step 6: Final answer
    x = 1,226.36

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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.