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Finding the Fourth Proportional to 892.17, 1,230.98 and 538.00

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Solution

The fourth proportional to 892.17, 1,230.98 and 538.00 is: 742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.17 : 1,230.98 = 538.00 : x
  2. Step 2: Convert to fraction form
    892.17/1,230.98 = 538.00/x
  3. Step 3: Cross multiply
    892.17x = 1,230.98 × 538.00
  4. Step 4: Simplify right side
    892.17x = 662,265.51
  5. Step 5: Solve for x
    x = 662,265.51/892.17
  6. Step 6: Final answer
    x = 742.31

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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.