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Finding the Fourth Proportional to 905.14, 1,357.71 and 514.93

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Solution

The fourth proportional to 905.14, 1,357.71 and 514.93 is: 772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.14 : 1,357.71 = 514.93 : x
  2. Step 2: Convert to fraction form
    905.14/1,357.71 = 514.93/x
  3. Step 3: Cross multiply
    905.14x = 1,357.71 × 514.93
  4. Step 4: Simplify right side
    905.14x = 699,125.61
  5. Step 5: Solve for x
    x = 699,125.61/905.14
  6. Step 6: Final answer
    x = 772.40

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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.