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Finding the Fourth Proportional to 705.60, 979.20 and 691.20

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Solution

The fourth proportional to 705.60, 979.20 and 691.20 is: 959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.60 : 979.20 = 691.20 : x
  2. Step 2: Convert to fraction form
    705.60/979.20 = 691.20/x
  3. Step 3: Cross multiply
    705.60x = 979.20 × 691.20
  4. Step 4: Simplify right side
    705.60x = 676,823.04
  5. Step 5: Solve for x
    x = 676,823.04/705.60
  6. Step 6: Final answer
    x = 959.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.