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Finding the Fourth Proportional to 1,103.49, 1,653.62 and 860.49

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Solution

The fourth proportional to 1,103.49, 1,653.62 and 860.49 is: 1,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.49 : 1,653.62 = 860.49 : x
  2. Step 2: Convert to fraction form
    1,103.49/1,653.62 = 860.49/x
  3. Step 3: Cross multiply
    1,103.49x = 1,653.62 × 860.49
  4. Step 4: Simplify right side
    1,103.49x = 1,422,919.17
  5. Step 5: Solve for x
    x = 1,422,919.17/1,103.49
  6. Step 6: Final answer
    x = 1,289.47

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1.5x scale

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.