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Finding the Fourth Proportional to 829.47, 1,242.83 and 585.48

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Solution

The fourth proportional to 829.47, 1,242.83 and 585.48 is: 877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.47 : 1,242.83 = 585.48 : x
  2. Step 2: Convert to fraction form
    829.47/1,242.83 = 585.48/x
  3. Step 3: Cross multiply
    829.47x = 1,242.83 × 585.48
  4. Step 4: Simplify right side
    829.47x = 727,652.11
  5. Step 5: Solve for x
    x = 727,652.11/829.47
  6. Step 6: Final answer
    x = 877.25

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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.