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Finding the Fourth Proportional to 806.84, 1,210.03 and 286.77

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Solution

The fourth proportional to 806.84, 1,210.03 and 286.77 is: 430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.84 : 1,210.03 = 286.77 : x
  2. Step 2: Convert to fraction form
    806.84/1,210.03 = 286.77/x
  3. Step 3: Cross multiply
    806.84x = 1,210.03 × 286.77
  4. Step 4: Simplify right side
    806.84x = 347,000.30
  5. Step 5: Solve for x
    x = 347,000.30/806.84
  6. Step 6: Final answer
    x = 430.07

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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.