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Finding the Fourth Proportional to 700.38, 965.31 and 601.74

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Solution

The fourth proportional to 700.38, 965.31 and 601.74 is: 829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.38 : 965.31 = 601.74 : x
  2. Step 2: Convert to fraction form
    700.38/965.31 = 601.74/x
  3. Step 3: Cross multiply
    700.38x = 965.31 × 601.74
  4. Step 4: Simplify right side
    700.38x = 580,865.64
  5. Step 5: Solve for x
    x = 580,865.64/700.38
  6. Step 6: Final answer
    x = 829.36

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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.