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Finding the Fourth Proportional to 979.99, 1,353.07 and 607.13

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Solution

The fourth proportional to 979.99, 1,353.07 and 607.13 is: 838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.99 : 1,353.07 = 607.13 : x
  2. Step 2: Convert to fraction form
    979.99/1,353.07 = 607.13/x
  3. Step 3: Cross multiply
    979.99x = 1,353.07 × 607.13
  4. Step 4: Simplify right side
    979.99x = 821,489.39
  5. Step 5: Solve for x
    x = 821,489.39/979.99
  6. Step 6: Final answer
    x = 838.26

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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.