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Finding the Fourth Proportional to 807.32, 1,212.10 and 417.60

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Solution

The fourth proportional to 807.32, 1,212.10 and 417.60 is: 626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.32 : 1,212.10 = 417.60 : x
  2. Step 2: Convert to fraction form
    807.32/1,212.10 = 417.60/x
  3. Step 3: Cross multiply
    807.32x = 1,212.10 × 417.60
  4. Step 4: Simplify right side
    807.32x = 506,171.92
  5. Step 5: Solve for x
    x = 506,171.92/807.32
  6. Step 6: Final answer
    x = 626.98

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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.