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Finding the Fourth Proportional to 741.02, 1,111.46 and 278.60

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Solution

The fourth proportional to 741.02, 1,111.46 and 278.60 is: 417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.02 : 1,111.46 = 278.60 : x
  2. Step 2: Convert to fraction form
    741.02/1,111.46 = 278.60/x
  3. Step 3: Cross multiply
    741.02x = 1,111.46 × 278.60
  4. Step 4: Simplify right side
    741.02x = 309,645.81
  5. Step 5: Solve for x
    x = 309,645.81/741.02
  6. Step 6: Final answer
    x = 417.87

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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.