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Finding the Fourth Proportional to 934.83, 1,291.23 and 758.43

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Solution

The fourth proportional to 934.83, 1,291.23 and 758.43 is: 1,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.83 : 1,291.23 = 758.43 : x
  2. Step 2: Convert to fraction form
    934.83/1,291.23 = 758.43/x
  3. Step 3: Cross multiply
    934.83x = 1,291.23 × 758.43
  4. Step 4: Simplify right side
    934.83x = 979,307.57
  5. Step 5: Solve for x
    x = 979,307.57/934.83
  6. Step 6: Final answer
    x = 1,047.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.