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Finding the Fourth Proportional to 1,103.54, 1,653.16 and 582.78

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Solution

The fourth proportional to 1,103.54, 1,653.16 and 582.78 is: 873.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.54 : 1,653.16 = 582.78 : x
  2. Step 2: Convert to fraction form
    1,103.54/1,653.16 = 582.78/x
  3. Step 3: Cross multiply
    1,103.54x = 1,653.16 × 582.78
  4. Step 4: Simplify right side
    1,103.54x = 963,428.58
  5. Step 5: Solve for x
    x = 963,428.58/1,103.54
  6. Step 6: Final answer
    x = 873.03

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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.