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Finding the Fourth Proportional to 944.97, 1,415.85 and 578.99

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Solution

The fourth proportional to 944.97, 1,415.85 and 578.99 is: 867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.97 : 1,415.85 = 578.99 : x
  2. Step 2: Convert to fraction form
    944.97/1,415.85 = 578.99/x
  3. Step 3: Cross multiply
    944.97x = 1,415.85 × 578.99
  4. Step 4: Simplify right side
    944.97x = 819,762.99
  5. Step 5: Solve for x
    x = 819,762.99/944.97
  6. Step 6: Final answer
    x = 867.50

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Why These Related Problems?

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