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Finding the Fourth Proportional to 872, 1,307.84 and 286.98

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Solution

The fourth proportional to 872, 1,307.84 and 286.98 is: 430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    872 : 1,307.84 = 286.98 : x
  2. Step 2: Convert to fraction form
    872/1,307.84 = 286.98/x
  3. Step 3: Cross multiply
    872x = 1,307.84 × 286.98
  4. Step 4: Simplify right side
    872x = 375,323.92
  5. Step 5: Solve for x
    x = 375,323.92/872
  6. Step 6: Final answer
    x = 430.42

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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.