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Finding the Fourth Proportional to 746.14, 1,118.42 and 283.62

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Solution

The fourth proportional to 746.14, 1,118.42 and 283.62 is: 425.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.14 : 1,118.42 = 283.62 : x
  2. Step 2: Convert to fraction form
    746.14/1,118.42 = 283.62/x
  3. Step 3: Cross multiply
    746.14x = 1,118.42 × 283.62
  4. Step 4: Simplify right side
    746.14x = 317,206.28
  5. Step 5: Solve for x
    x = 317,206.28/746.14
  6. Step 6: Final answer
    x = 425.13

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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.