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Finding the Fourth Proportional to 806.58, 1,209.27 and 416.01

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Solution

The fourth proportional to 806.58, 1,209.27 and 416.01 is: 623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.58 : 1,209.27 = 416.01 : x
  2. Step 2: Convert to fraction form
    806.58/1,209.27 = 416.01/x
  3. Step 3: Cross multiply
    806.58x = 1,209.27 × 416.01
  4. Step 4: Simplify right side
    806.58x = 503,068.41
  5. Step 5: Solve for x
    x = 503,068.41/806.58
  6. Step 6: Final answer
    x = 623.71

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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.