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Finding the Fourth Proportional to 979.10, 1,351.15 and 537

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Solution

The fourth proportional to 979.10, 1,351.15 and 537 is: 741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.10 : 1,351.15 = 537 : x
  2. Step 2: Convert to fraction form
    979.10/1,351.15 = 537/x
  3. Step 3: Cross multiply
    979.10x = 1,351.15 × 537
  4. Step 4: Simplify right side
    979.10x = 725,566.21
  5. Step 5: Solve for x
    x = 725,566.21/979.10
  6. Step 6: Final answer
    x = 741.06

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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.