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Finding the Fourth Proportional to 710.92, 978.84 and 605.80

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Solution

The fourth proportional to 710.92, 978.84 and 605.80 is: 834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.92 : 978.84 = 605.80 : x
  2. Step 2: Convert to fraction form
    710.92/978.84 = 605.80/x
  3. Step 3: Cross multiply
    710.92x = 978.84 × 605.80
  4. Step 4: Simplify right side
    710.92x = 592,981.27
  5. Step 5: Solve for x
    x = 592,981.27/710.92
  6. Step 6: Final answer
    x = 834.10

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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.