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Finding the Fourth Proportional to 983.52, 1,356.56 and 610.10

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Solution

The fourth proportional to 983.52, 1,356.56 and 610.10 is: 841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.52 : 1,356.56 = 610.10 : x
  2. Step 2: Convert to fraction form
    983.52/1,356.56 = 610.10/x
  3. Step 3: Cross multiply
    983.52x = 1,356.56 × 610.10
  4. Step 4: Simplify right side
    983.52x = 827,637.26
  5. Step 5: Solve for x
    x = 827,637.26/983.52
  6. Step 6: Final answer
    x = 841.51

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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.