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Finding the Fourth Proportional to 971.03, 1,340.03 and 528.92

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Solution

The fourth proportional to 971.03, 1,340.03 and 528.92 is: 729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.03 : 1,340.03 = 528.92 : x
  2. Step 2: Convert to fraction form
    971.03/1,340.03 = 528.92/x
  3. Step 3: Cross multiply
    971.03x = 1,340.03 × 528.92
  4. Step 4: Simplify right side
    971.03x = 708,768.67
  5. Step 5: Solve for x
    x = 708,768.67/971.03
  6. Step 6: Final answer
    x = 729.91

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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.