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Finding the Fourth Proportional to 1,086.69, 1,630.28 and 509.25

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Solution

The fourth proportional to 1,086.69, 1,630.28 and 509.25 is: 763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.69 : 1,630.28 = 509.25 : x
  2. Step 2: Convert to fraction form
    1,086.69/1,630.28 = 509.25/x
  3. Step 3: Cross multiply
    1,086.69x = 1,630.28 × 509.25
  4. Step 4: Simplify right side
    1,086.69x = 830,220.09
  5. Step 5: Solve for x
    x = 830,220.09/1,086.69
  6. Step 6: Final answer
    x = 763.99

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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.