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Finding the Fourth Proportional to 743.91, 1,027.06 and 478.47

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Solution

The fourth proportional to 743.91, 1,027.06 and 478.47 is: 660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.91 : 1,027.06 = 478.47 : x
  2. Step 2: Convert to fraction form
    743.91/1,027.06 = 478.47/x
  3. Step 3: Cross multiply
    743.91x = 1,027.06 × 478.47
  4. Step 4: Simplify right side
    743.91x = 491,417.40
  5. Step 5: Solve for x
    x = 491,417.40/743.91
  6. Step 6: Final answer
    x = 660.59

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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.