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Finding the Fourth Proportional to 1,088.98, 1,623.14 and 1,080.48

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Solution

The fourth proportional to 1,088.98, 1,623.14 and 1,080.48 is: 1,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.98 : 1,623.14 = 1,080.48 : x
  2. Step 2: Convert to fraction form
    1,088.98/1,623.14 = 1,080.48/x
  3. Step 3: Cross multiply
    1,088.98x = 1,623.14 × 1,080.48
  4. Step 4: Simplify right side
    1,088.98x = 1,753,770.31
  5. Step 5: Solve for x
    x = 1,753,770.31/1,088.98
  6. Step 6: Final answer
    x = 1,610.47

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.