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Finding the Fourth Proportional to 983.61, 1,471.77 and 618.66

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Solution

The fourth proportional to 983.61, 1,471.77 and 618.66 is: 925.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.61 : 1,471.77 = 618.66 : x
  2. Step 2: Convert to fraction form
    983.61/1,471.77 = 618.66/x
  3. Step 3: Cross multiply
    983.61x = 1,471.77 × 618.66
  4. Step 4: Simplify right side
    983.61x = 910,525.23
  5. Step 5: Solve for x
    x = 910,525.23/983.61
  6. Step 6: Final answer
    x = 925.70

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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.