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Finding the Fourth Proportional to 920.97, 1,379.70 and 714.52

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Solution

The fourth proportional to 920.97, 1,379.70 and 714.52 is: 1,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.97 : 1,379.70 = 714.52 : x
  2. Step 2: Convert to fraction form
    920.97/1,379.70 = 714.52/x
  3. Step 3: Cross multiply
    920.97x = 1,379.70 × 714.52
  4. Step 4: Simplify right side
    920.97x = 985,823.24
  5. Step 5: Solve for x
    x = 985,823.24/920.97
  6. Step 6: Final answer
    x = 1,070.42

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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.