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Finding the Fourth Proportional to 979.06, 1,351.10 and 536.95

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Solution

The fourth proportional to 979.06, 1,351.10 and 536.95 is: 740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.06 : 1,351.10 = 536.95 : x
  2. Step 2: Convert to fraction form
    979.06/1,351.10 = 536.95/x
  3. Step 3: Cross multiply
    979.06x = 1,351.10 × 536.95
  4. Step 4: Simplify right side
    979.06x = 725,476.96
  5. Step 5: Solve for x
    x = 725,476.96/979.06
  6. Step 6: Final answer
    x = 740.99

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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.