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Finding the Fourth Proportional to 833.14, 1,149.62 and 501.65

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Solution

The fourth proportional to 833.14, 1,149.62 and 501.65 is: 692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.14 : 1,149.62 = 501.65 : x
  2. Step 2: Convert to fraction form
    833.14/1,149.62 = 501.65/x
  3. Step 3: Cross multiply
    833.14x = 1,149.62 × 501.65
  4. Step 4: Simplify right side
    833.14x = 576,706.87
  5. Step 5: Solve for x
    x = 576,706.87/833.14
  6. Step 6: Final answer
    x = 692.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.