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Finding the Fourth Proportional to 1,104.49, 1,653.76 and 583.41

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Solution

The fourth proportional to 1,104.49, 1,653.76 and 583.41 is: 873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.49 : 1,653.76 = 583.41 : x
  2. Step 2: Convert to fraction form
    1,104.49/1,653.76 = 583.41/x
  3. Step 3: Cross multiply
    1,104.49x = 1,653.76 × 583.41
  4. Step 4: Simplify right side
    1,104.49x = 964,820.12
  5. Step 5: Solve for x
    x = 964,820.12/1,104.49
  6. Step 6: Final answer
    x = 873.54

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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.