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Finding the Fourth Proportional to 829.23, 1,144.09 and 497.54

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Solution

The fourth proportional to 829.23, 1,144.09 and 497.54 is: 686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.23 : 1,144.09 = 497.54 : x
  2. Step 2: Convert to fraction form
    829.23/1,144.09 = 497.54/x
  3. Step 3: Cross multiply
    829.23x = 1,144.09 × 497.54
  4. Step 4: Simplify right side
    829.23x = 569,223.57
  5. Step 5: Solve for x
    x = 569,223.57/829.23
  6. Step 6: Final answer
    x = 686.45

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Double scale
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1.5x scale

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.