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Finding the Fourth Proportional to 1,536.40, 2,304.48 and 714.46

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Solution

The fourth proportional to 1,536.40, 2,304.48 and 714.46 is: 1,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.40 : 2,304.48 = 714.46 : x
  2. Step 2: Convert to fraction form
    1,536.40/2,304.48 = 714.46/x
  3. Step 3: Cross multiply
    1,536.40x = 2,304.48 × 714.46
  4. Step 4: Simplify right side
    1,536.40x = 1,646,458.78
  5. Step 5: Solve for x
    x = 1,646,458.78/1,536.40
  6. Step 6: Final answer
    x = 1,071.63

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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.