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Finding the Fourth Proportional to 971.42, 1,340.57 and 529.34

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Solution

The fourth proportional to 971.42, 1,340.57 and 529.34 is: 730.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.42 : 1,340.57 = 529.34 : x
  2. Step 2: Convert to fraction form
    971.42/1,340.57 = 529.34/x
  3. Step 3: Cross multiply
    971.42x = 1,340.57 × 529.34
  4. Step 4: Simplify right side
    971.42x = 709,607.97
  5. Step 5: Solve for x
    x = 709,607.97/971.42
  6. Step 6: Final answer
    x = 730.49

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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.