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Finding the Fourth Proportional to 944.57, 1,423.86 and 783.28

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Solution

The fourth proportional to 944.57, 1,423.86 and 783.28 is: 1,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.57 : 1,423.86 = 783.28 : x
  2. Step 2: Convert to fraction form
    944.57/1,423.86 = 783.28/x
  3. Step 3: Cross multiply
    944.57x = 1,423.86 × 783.28
  4. Step 4: Simplify right side
    944.57x = 1,115,279.90
  5. Step 5: Solve for x
    x = 1,115,279.90/944.57
  6. Step 6: Final answer
    x = 1,180.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.