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Finding the Fourth Proportional to 1,103.73, 1,653.99 and 712.80

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Solution

The fourth proportional to 1,103.73, 1,653.99 and 712.80 is: 1,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.73 : 1,653.99 = 712.80 : x
  2. Step 2: Convert to fraction form
    1,103.73/1,653.99 = 712.80/x
  3. Step 3: Cross multiply
    1,103.73x = 1,653.99 × 712.80
  4. Step 4: Simplify right side
    1,103.73x = 1,178,964.07
  5. Step 5: Solve for x
    x = 1,178,964.07/1,103.73
  6. Step 6: Final answer
    x = 1,068.16

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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.