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Finding the Fourth Proportional to 971.78, 1,341.18 and 578.84

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Solution

The fourth proportional to 971.78, 1,341.18 and 578.84 is: 798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.78 : 1,341.18 = 578.84 : x
  2. Step 2: Convert to fraction form
    971.78/1,341.18 = 578.84/x
  3. Step 3: Cross multiply
    971.78x = 1,341.18 × 578.84
  4. Step 4: Simplify right side
    971.78x = 776,321.93
  5. Step 5: Solve for x
    x = 776,321.93/971.78
  6. Step 6: Final answer
    x = 798.87

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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.