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Finding the Fourth Proportional to 746.57, 1,119.87 and 278.16

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Solution

The fourth proportional to 746.57, 1,119.87 and 278.16 is: 417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.57 : 1,119.87 = 278.16 : x
  2. Step 2: Convert to fraction form
    746.57/1,119.87 = 278.16/x
  3. Step 3: Cross multiply
    746.57x = 1,119.87 × 278.16
  4. Step 4: Simplify right side
    746.57x = 311,503.04
  5. Step 5: Solve for x
    x = 311,503.04/746.57
  6. Step 6: Final answer
    x = 417.25

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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.