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Finding the Fourth Proportional to 710.92, 982.04 and 601.57

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Solution

The fourth proportional to 710.92, 982.04 and 601.57 is: 830.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.92 : 982.04 = 601.57 : x
  2. Step 2: Convert to fraction form
    710.92/982.04 = 601.57/x
  3. Step 3: Cross multiply
    710.92x = 982.04 × 601.57
  4. Step 4: Simplify right side
    710.92x = 590,765.80
  5. Step 5: Solve for x
    x = 590,765.80/710.92
  6. Step 6: Final answer
    x = 830.99

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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.