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Finding the Fourth Proportional to 1,086.84, 1,630.44 and 470.43

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Solution

The fourth proportional to 1,086.84, 1,630.44 and 470.43 is: 705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.84 : 1,630.44 = 470.43 : x
  2. Step 2: Convert to fraction form
    1,086.84/1,630.44 = 470.43/x
  3. Step 3: Cross multiply
    1,086.84x = 1,630.44 × 470.43
  4. Step 4: Simplify right side
    1,086.84x = 767,007.89
  5. Step 5: Solve for x
    x = 767,007.89/1,086.84
  6. Step 6: Final answer
    x = 705.72

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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.