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Finding the Fourth Proportional to 1,584.35, 2,376.76 and 659.38

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Solution

The fourth proportional to 1,584.35, 2,376.76 and 659.38 is: 989.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.35 : 2,376.76 = 659.38 : x
  2. Step 2: Convert to fraction form
    1,584.35/2,376.76 = 659.38/x
  3. Step 3: Cross multiply
    1,584.35x = 2,376.76 × 659.38
  4. Step 4: Simplify right side
    1,584.35x = 1,567,186.11
  5. Step 5: Solve for x
    x = 1,567,186.11/1,584.35
  6. Step 6: Final answer
    x = 989.17

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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.