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Finding the Fourth Proportional to 971.76, 1,340.82 and 598.62

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Solution

The fourth proportional to 971.76, 1,340.82 and 598.62 is: 825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.76 : 1,340.82 = 598.62 : x
  2. Step 2: Convert to fraction form
    971.76/1,340.82 = 598.62/x
  3. Step 3: Cross multiply
    971.76x = 1,340.82 × 598.62
  4. Step 4: Simplify right side
    971.76x = 802,646.70
  5. Step 5: Solve for x
    x = 802,646.70/971.76
  6. Step 6: Final answer
    x = 825.97

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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.