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Finding the Fourth Proportional to 711.68, 982.96 and 581.20

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Solution

The fourth proportional to 711.68, 982.96 and 581.20 is: 802.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.68 : 982.96 = 581.20 : x
  2. Step 2: Convert to fraction form
    711.68/982.96 = 581.20/x
  3. Step 3: Cross multiply
    711.68x = 982.96 × 581.20
  4. Step 4: Simplify right side
    711.68x = 571,296.35
  5. Step 5: Solve for x
    x = 571,296.35/711.68
  6. Step 6: Final answer
    x = 802.74

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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.