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Finding the Fourth Proportional to 678.76, 934.60 and 580.28

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Solution

The fourth proportional to 678.76, 934.60 and 580.28 is: 799.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.76 : 934.60 = 580.28 : x
  2. Step 2: Convert to fraction form
    678.76/934.60 = 580.28/x
  3. Step 3: Cross multiply
    678.76x = 934.60 × 580.28
  4. Step 4: Simplify right side
    678.76x = 542,329.69
  5. Step 5: Solve for x
    x = 542,329.69/678.76
  6. Step 6: Final answer
    x = 799.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.