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Finding the Fourth Proportional to 829.81, 1,242.88 and 463.69

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Solution

The fourth proportional to 829.81, 1,242.88 and 463.69 is: 694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.81 : 1,242.88 = 463.69 : x
  2. Step 2: Convert to fraction form
    829.81/1,242.88 = 463.69/x
  3. Step 3: Cross multiply
    829.81x = 1,242.88 × 463.69
  4. Step 4: Simplify right side
    829.81x = 576,311.03
  5. Step 5: Solve for x
    x = 576,311.03/829.81
  6. Step 6: Final answer
    x = 694.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.