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Finding the Fourth Proportional to 829.20, 1,144.04 and 497.46

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Solution

The fourth proportional to 829.20, 1,144.04 and 497.46 is: 686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.20 : 1,144.04 = 497.46 : x
  2. Step 2: Convert to fraction form
    829.20/1,144.04 = 497.46/x
  3. Step 3: Cross multiply
    829.20x = 1,144.04 × 497.46
  4. Step 4: Simplify right side
    829.20x = 569,114.14
  5. Step 5: Solve for x
    x = 569,114.14/829.20
  6. Step 6: Final answer
    x = 686.34

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Double scale
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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.