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Finding the Fourth Proportional to 807.18, 1,210.92 and 259.41

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Solution

The fourth proportional to 807.18, 1,210.92 and 259.41 is: 389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.18 : 1,210.92 = 259.41 : x
  2. Step 2: Convert to fraction form
    807.18/1,210.92 = 259.41/x
  3. Step 3: Cross multiply
    807.18x = 1,210.92 × 259.41
  4. Step 4: Simplify right side
    807.18x = 314,124.76
  5. Step 5: Solve for x
    x = 314,124.76/807.18
  6. Step 6: Final answer
    x = 389.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.