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Finding the Fourth Proportional to 1,103.97, 1,656.41 and 583.83

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Solution

The fourth proportional to 1,103.97, 1,656.41 and 583.83 is: 875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.97 : 1,656.41 = 583.83 : x
  2. Step 2: Convert to fraction form
    1,103.97/1,656.41 = 583.83/x
  3. Step 3: Cross multiply
    1,103.97x = 1,656.41 × 583.83
  4. Step 4: Simplify right side
    1,103.97x = 967,058.93
  5. Step 5: Solve for x
    x = 967,058.93/1,103.97
  6. Step 6: Final answer
    x = 875.98

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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.