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Finding the Fourth Proportional to 696.86, 961.71 and 580.22

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Solution

The fourth proportional to 696.86, 961.71 and 580.22 is: 800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.86 : 961.71 = 580.22 : x
  2. Step 2: Convert to fraction form
    696.86/961.71 = 580.22/x
  3. Step 3: Cross multiply
    696.86x = 961.71 × 580.22
  4. Step 4: Simplify right side
    696.86x = 558,003.38
  5. Step 5: Solve for x
    x = 558,003.38/696.86
  6. Step 6: Final answer
    x = 800.74

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1.5x scale

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.