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Finding the Fourth Proportional to 1,103.82, 1,653.66 and 617.10

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Solution

The fourth proportional to 1,103.82, 1,653.66 and 617.10 is: 924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.82 : 1,653.66 = 617.10 : x
  2. Step 2: Convert to fraction form
    1,103.82/1,653.66 = 617.10/x
  3. Step 3: Cross multiply
    1,103.82x = 1,653.66 × 617.10
  4. Step 4: Simplify right side
    1,103.82x = 1,020,473.59
  5. Step 5: Solve for x
    x = 1,020,473.59/1,103.82
  6. Step 6: Final answer
    x = 924.49

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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.