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Finding the Fourth Proportional to 746.24, 1,029.44 and 470.40

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Solution

The fourth proportional to 746.24, 1,029.44 and 470.40 is: 648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.24 : 1,029.44 = 470.40 : x
  2. Step 2: Convert to fraction form
    746.24/1,029.44 = 470.40/x
  3. Step 3: Cross multiply
    746.24x = 1,029.44 × 470.40
  4. Step 4: Simplify right side
    746.24x = 484,248.58
  5. Step 5: Solve for x
    x = 484,248.58/746.24
  6. Step 6: Final answer
    x = 648.92

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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.