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Finding the Fourth Proportional to 806.96, 1,210.04 and 417.15

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Solution

The fourth proportional to 806.96, 1,210.04 and 417.15 is: 625.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.96 : 1,210.04 = 417.15 : x
  2. Step 2: Convert to fraction form
    806.96/1,210.04 = 417.15/x
  3. Step 3: Cross multiply
    806.96x = 1,210.04 × 417.15
  4. Step 4: Simplify right side
    806.96x = 504,768.19
  5. Step 5: Solve for x
    x = 504,768.19/806.96
  6. Step 6: Final answer
    x = 625.52

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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.