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Finding the Fourth Proportional to 971.40, 1,340.52 and 540.21

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Solution

The fourth proportional to 971.40, 1,340.52 and 540.21 is: 745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.40 : 1,340.52 = 540.21 : x
  2. Step 2: Convert to fraction form
    971.40/1,340.52 = 540.21/x
  3. Step 3: Cross multiply
    971.40x = 1,340.52 × 540.21
  4. Step 4: Simplify right side
    971.40x = 724,162.31
  5. Step 5: Solve for x
    x = 724,162.31/971.40
  6. Step 6: Final answer
    x = 745.48

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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.