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Finding the Fourth Proportional to 944.24, 1,415.64 and 578.84

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Solution

The fourth proportional to 944.24, 1,415.64 and 578.84 is: 867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.24 : 1,415.64 = 578.84 : x
  2. Step 2: Convert to fraction form
    944.24/1,415.64 = 578.84/x
  3. Step 3: Cross multiply
    944.24x = 1,415.64 × 578.84
  4. Step 4: Simplify right side
    944.24x = 819,429.06
  5. Step 5: Solve for x
    x = 819,429.06/944.24
  6. Step 6: Final answer
    x = 867.82

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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.