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Finding the Fourth Proportional to 971.33, 1,340.43 and 578.35

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Solution

The fourth proportional to 971.33, 1,340.43 and 578.35 is: 798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.33 : 1,340.43 = 578.35 : x
  2. Step 2: Convert to fraction form
    971.33/1,340.43 = 578.35/x
  3. Step 3: Cross multiply
    971.33x = 1,340.43 × 578.35
  4. Step 4: Simplify right side
    971.33x = 775,237.69
  5. Step 5: Solve for x
    x = 775,237.69/971.33
  6. Step 6: Final answer
    x = 798.12

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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.