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Finding the Fourth Proportional to 1,536.21, 2,305.08 and 714.33

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Solution

The fourth proportional to 1,536.21, 2,305.08 and 714.33 is: 1,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.21 : 2,305.08 = 714.33 : x
  2. Step 2: Convert to fraction form
    1,536.21/2,305.08 = 714.33/x
  3. Step 3: Cross multiply
    1,536.21x = 2,305.08 × 714.33
  4. Step 4: Simplify right side
    1,536.21x = 1,646,587.80
  5. Step 5: Solve for x
    x = 1,646,587.80/1,536.21
  6. Step 6: Final answer
    x = 1,071.85

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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.