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Finding the Fourth Proportional to 971.05, 1,340.74 and 598.15

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Solution

The fourth proportional to 971.05, 1,340.74 and 598.15 is: 825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.05 : 1,340.74 = 598.15 : x
  2. Step 2: Convert to fraction form
    971.05/1,340.74 = 598.15/x
  3. Step 3: Cross multiply
    971.05x = 1,340.74 × 598.15
  4. Step 4: Simplify right side
    971.05x = 801,963.63
  5. Step 5: Solve for x
    x = 801,963.63/971.05
  6. Step 6: Final answer
    x = 825.87

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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.