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Finding the Fourth Proportional to 833.68, 1,250.63 and 286.01

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Solution

The fourth proportional to 833.68, 1,250.63 and 286.01 is: 429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.68 : 1,250.63 = 286.01 : x
  2. Step 2: Convert to fraction form
    833.68/1,250.63 = 286.01/x
  3. Step 3: Cross multiply
    833.68x = 1,250.63 × 286.01
  4. Step 4: Simplify right side
    833.68x = 357,692.69
  5. Step 5: Solve for x
    x = 357,692.69/833.68
  6. Step 6: Final answer
    x = 429.05

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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.