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Finding the Fourth Proportional to 714.69, 1,066.19 and 694.85

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Solution

The fourth proportional to 714.69, 1,066.19 and 694.85 is: 1,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.69 : 1,066.19 = 694.85 : x
  2. Step 2: Convert to fraction form
    714.69/1,066.19 = 694.85/x
  3. Step 3: Cross multiply
    714.69x = 1,066.19 × 694.85
  4. Step 4: Simplify right side
    714.69x = 740,842.12
  5. Step 5: Solve for x
    x = 740,842.12/714.69
  6. Step 6: Final answer
    x = 1,036.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.