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Finding the Fourth Proportional to 707.14, 1,060.71 and 194.14

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Solution

The fourth proportional to 707.14, 1,060.71 and 194.14 is: 291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.14 : 1,060.71 = 194.14 : x
  2. Step 2: Convert to fraction form
    707.14/1,060.71 = 194.14/x
  3. Step 3: Cross multiply
    707.14x = 1,060.71 × 194.14
  4. Step 4: Simplify right side
    707.14x = 205,926.24
  5. Step 5: Solve for x
    x = 205,926.24/707.14
  6. Step 6: Final answer
    x = 291.21

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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.