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Finding the Fourth Proportional to 743.19, 1,113.82 and 414.12

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Solution

The fourth proportional to 743.19, 1,113.82 and 414.12 is: 620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.19 : 1,113.82 = 414.12 : x
  2. Step 2: Convert to fraction form
    743.19/1,113.82 = 414.12/x
  3. Step 3: Cross multiply
    743.19x = 1,113.82 × 414.12
  4. Step 4: Simplify right side
    743.19x = 461,254.52
  5. Step 5: Solve for x
    x = 461,254.52/743.19
  6. Step 6: Final answer
    x = 620.64

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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.