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Finding the Fourth Proportional to 746.52, 1,119.35 and 284.16

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Solution

The fourth proportional to 746.52, 1,119.35 and 284.16 is: 426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.52 : 1,119.35 = 284.16 : x
  2. Step 2: Convert to fraction form
    746.52/1,119.35 = 284.16/x
  3. Step 3: Cross multiply
    746.52x = 1,119.35 × 284.16
  4. Step 4: Simplify right side
    746.52x = 318,079.40
  5. Step 5: Solve for x
    x = 318,079.40/746.52
  6. Step 6: Final answer
    x = 426.09

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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.