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Finding the Fourth Proportional to 929.25, 1,395.24 and 584.76

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Solution

The fourth proportional to 929.25, 1,395.24 and 584.76 is: 878.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.25 : 1,395.24 = 584.76 : x
  2. Step 2: Convert to fraction form
    929.25/1,395.24 = 584.76/x
  3. Step 3: Cross multiply
    929.25x = 1,395.24 × 584.76
  4. Step 4: Simplify right side
    929.25x = 815,880.54
  5. Step 5: Solve for x
    x = 815,880.54/929.25
  6. Step 6: Final answer
    x = 878.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.