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Finding the Fourth Proportional to 713.36, 982.32 and 596.72

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Solution

The fourth proportional to 713.36, 982.32 and 596.72 is: 821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.36 : 982.32 = 596.72 : x
  2. Step 2: Convert to fraction form
    713.36/982.32 = 596.72/x
  3. Step 3: Cross multiply
    713.36x = 982.32 × 596.72
  4. Step 4: Simplify right side
    713.36x = 586,169.99
  5. Step 5: Solve for x
    x = 586,169.99/713.36
  6. Step 6: Final answer
    x = 821.70

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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.