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Finding the Fourth Proportional to 807.66, 1,210.87 and 417.24

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Solution

The fourth proportional to 807.66, 1,210.87 and 417.24 is: 625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.66 : 1,210.87 = 417.24 : x
  2. Step 2: Convert to fraction form
    807.66/1,210.87 = 417.24/x
  3. Step 3: Cross multiply
    807.66x = 1,210.87 × 417.24
  4. Step 4: Simplify right side
    807.66x = 505,223.40
  5. Step 5: Solve for x
    x = 505,223.40/807.66
  6. Step 6: Final answer
    x = 625.54

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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.