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Finding the Fourth Proportional to 1,536.39, 2,304.30 and 659.05

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Solution

The fourth proportional to 1,536.39, 2,304.30 and 659.05 is: 988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.39 : 2,304.30 = 659.05 : x
  2. Step 2: Convert to fraction form
    1,536.39/2,304.30 = 659.05/x
  3. Step 3: Cross multiply
    1,536.39x = 2,304.30 × 659.05
  4. Step 4: Simplify right side
    1,536.39x = 1,518,645.63
  5. Step 5: Solve for x
    x = 1,518,645.63/1,536.39
  6. Step 6: Final answer
    x = 988.45

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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.