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Finding the Fourth Proportional to 1,536.77, 2,304.03 and 714.62

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Solution

The fourth proportional to 1,536.77, 2,304.03 and 714.62 is: 1,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.77 : 2,304.03 = 714.62 : x
  2. Step 2: Convert to fraction form
    1,536.77/2,304.03 = 714.62/x
  3. Step 3: Cross multiply
    1,536.77x = 2,304.03 × 714.62
  4. Step 4: Simplify right side
    1,536.77x = 1,646,505.92
  5. Step 5: Solve for x
    x = 1,646,505.92/1,536.77
  6. Step 6: Final answer
    x = 1,071.41

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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.