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Finding the Fourth Proportional to 807.06, 1,210.75 and 417.25

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Solution

The fourth proportional to 807.06, 1,210.75 and 417.25 is: 625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.06 : 1,210.75 = 417.25 : x
  2. Step 2: Convert to fraction form
    807.06/1,210.75 = 417.25/x
  3. Step 3: Cross multiply
    807.06x = 1,210.75 × 417.25
  4. Step 4: Simplify right side
    807.06x = 505,185.91
  5. Step 5: Solve for x
    x = 505,185.91/807.06
  6. Step 6: Final answer
    x = 625.96

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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.