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Finding the Fourth Proportional to 678.95, 937.61 and 580.13

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Solution

The fourth proportional to 678.95, 937.61 and 580.13 is: 801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.95 : 937.61 = 580.13 : x
  2. Step 2: Convert to fraction form
    678.95/937.61 = 580.13/x
  3. Step 3: Cross multiply
    678.95x = 937.61 × 580.13
  4. Step 4: Simplify right side
    678.95x = 543,928.10
  5. Step 5: Solve for x
    x = 543,928.10/678.95
  6. Step 6: Final answer
    x = 801.14

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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.