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Finding the Fourth Proportional to 705.88, 974.34 and 540.04

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Solution

The fourth proportional to 705.88, 974.34 and 540.04 is: 745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.88 : 974.34 = 540.04 : x
  2. Step 2: Convert to fraction form
    705.88/974.34 = 540.04/x
  3. Step 3: Cross multiply
    705.88x = 974.34 × 540.04
  4. Step 4: Simplify right side
    705.88x = 526,182.57
  5. Step 5: Solve for x
    x = 526,182.57/705.88
  6. Step 6: Final answer
    x = 745.43

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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.