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Finding the Fourth Proportional to 971.80, 1,341.12 and 578.86

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Solution

The fourth proportional to 971.80, 1,341.12 and 578.86 is: 798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.80 : 1,341.12 = 578.86 : x
  2. Step 2: Convert to fraction form
    971.80/1,341.12 = 578.86/x
  3. Step 3: Cross multiply
    971.80x = 1,341.12 × 578.86
  4. Step 4: Simplify right side
    971.80x = 776,320.72
  5. Step 5: Solve for x
    x = 776,320.72/971.80
  6. Step 6: Final answer
    x = 798.85

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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.