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Finding the Fourth Proportional to 902.13, 1,353.80 and 585.82

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Solution

The fourth proportional to 902.13, 1,353.80 and 585.82 is: 879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.13 : 1,353.80 = 585.82 : x
  2. Step 2: Convert to fraction form
    902.13/1,353.80 = 585.82/x
  3. Step 3: Cross multiply
    902.13x = 1,353.80 × 585.82
  4. Step 4: Simplify right side
    902.13x = 793,083.12
  5. Step 5: Solve for x
    x = 793,083.12/902.13
  6. Step 6: Final answer
    x = 879.12

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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.