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Finding the Fourth Proportional to 714.11, 1,072.07 and 710.46

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Solution

The fourth proportional to 714.11, 1,072.07 and 710.46 is: 1,066.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.11 : 1,072.07 = 710.46 : x
  2. Step 2: Convert to fraction form
    714.11/1,072.07 = 710.46/x
  3. Step 3: Cross multiply
    714.11x = 1,072.07 × 710.46
  4. Step 4: Simplify right side
    714.11x = 761,659.30
  5. Step 5: Solve for x
    x = 761,659.30/714.11
  6. Step 6: Final answer
    x = 1,066.59

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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.