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Finding the Fourth Proportional to 829.79, 1,242.05 and 463.46

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Solution

The fourth proportional to 829.79, 1,242.05 and 463.46 is: 693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.79 : 1,242.05 = 463.46 : x
  2. Step 2: Convert to fraction form
    829.79/1,242.05 = 463.46/x
  3. Step 3: Cross multiply
    829.79x = 1,242.05 × 463.46
  4. Step 4: Simplify right side
    829.79x = 575,641.28
  5. Step 5: Solve for x
    x = 575,641.28/829.79
  6. Step 6: Final answer
    x = 693.72

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