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Finding the Fourth Proportional to 1,088.91, 1,632.45 and 440.10

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Solution

The fourth proportional to 1,088.91, 1,632.45 and 440.10 is: 659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.91 : 1,632.45 = 440.10 : x
  2. Step 2: Convert to fraction form
    1,088.91/1,632.45 = 440.10/x
  3. Step 3: Cross multiply
    1,088.91x = 1,632.45 × 440.10
  4. Step 4: Simplify right side
    1,088.91x = 718,441.25
  5. Step 5: Solve for x
    x = 718,441.25/1,088.91
  6. Step 6: Final answer
    x = 659.78

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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.