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Finding the Fourth Proportional to 971.43, 1,340.57 and 529.33

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Solution

The fourth proportional to 971.43, 1,340.57 and 529.33 is: 730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.43 : 1,340.57 = 529.33 : x
  2. Step 2: Convert to fraction form
    971.43/1,340.57 = 529.33/x
  3. Step 3: Cross multiply
    971.43x = 1,340.57 × 529.33
  4. Step 4: Simplify right side
    971.43x = 709,603.92
  5. Step 5: Solve for x
    x = 709,603.92/971.43
  6. Step 6: Final answer
    x = 730.47

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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.