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Finding the Fourth Proportional to 806.17, 1,209.53 and 373

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Solution

The fourth proportional to 806.17, 1,209.53 and 373 is: 559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.17 : 1,209.53 = 373 : x
  2. Step 2: Convert to fraction form
    806.17/1,209.53 = 373/x
  3. Step 3: Cross multiply
    806.17x = 1,209.53 × 373
  4. Step 4: Simplify right side
    806.17x = 451,152.83
  5. Step 5: Solve for x
    x = 451,152.83/806.17
  6. Step 6: Final answer
    x = 559.62

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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.