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Finding the Fourth Proportional to 1,088.94, 1,632.91 and 439.19

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Solution

The fourth proportional to 1,088.94, 1,632.91 and 439.19 is: 658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.94 : 1,632.91 = 439.19 : x
  2. Step 2: Convert to fraction form
    1,088.94/1,632.91 = 439.19/x
  3. Step 3: Cross multiply
    1,088.94x = 1,632.91 × 439.19
  4. Step 4: Simplify right side
    1,088.94x = 717,157.74
  5. Step 5: Solve for x
    x = 717,157.74/1,088.94
  6. Step 6: Final answer
    x = 658.58

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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.