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Finding the Fourth Proportional to 971.46, 1,340.15 and 578.21

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Solution

The fourth proportional to 971.46, 1,340.15 and 578.21 is: 797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.46 : 1,340.15 = 578.21 : x
  2. Step 2: Convert to fraction form
    971.46/1,340.15 = 578.21/x
  3. Step 3: Cross multiply
    971.46x = 1,340.15 × 578.21
  4. Step 4: Simplify right side
    971.46x = 774,878.54
  5. Step 5: Solve for x
    x = 774,878.54/971.46
  6. Step 6: Final answer
    x = 797.64

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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.