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Finding the Fourth Proportional to 743.38, 1,026.12 and 460.02

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Solution

The fourth proportional to 743.38, 1,026.12 and 460.02 is: 634.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.38 : 1,026.12 = 460.02 : x
  2. Step 2: Convert to fraction form
    743.38/1,026.12 = 460.02/x
  3. Step 3: Cross multiply
    743.38x = 1,026.12 × 460.02
  4. Step 4: Simplify right side
    743.38x = 472,031.74
  5. Step 5: Solve for x
    x = 472,031.74/743.38
  6. Step 6: Final answer
    x = 634.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.