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Finding the Fourth Proportional to 971.13, 1,340.15 and 529.03

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Solution

The fourth proportional to 971.13, 1,340.15 and 529.03 is: 730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.13 : 1,340.15 = 529.03 : x
  2. Step 2: Convert to fraction form
    971.13/1,340.15 = 529.03/x
  3. Step 3: Cross multiply
    971.13x = 1,340.15 × 529.03
  4. Step 4: Simplify right side
    971.13x = 708,977.53
  5. Step 5: Solve for x
    x = 708,977.53/971.13
  6. Step 6: Final answer
    x = 730.05

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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.