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Finding the Fourth Proportional to 979.15, 1,351.24 and 537.07

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Solution

The fourth proportional to 979.15, 1,351.24 and 537.07 is: 741.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.15 : 1,351.24 = 537.07 : x
  2. Step 2: Convert to fraction form
    979.15/1,351.24 = 537.07/x
  3. Step 3: Cross multiply
    979.15x = 1,351.24 × 537.07
  4. Step 4: Simplify right side
    979.15x = 725,710.47
  5. Step 5: Solve for x
    x = 725,710.47/979.15
  6. Step 6: Final answer
    x = 741.16

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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.