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Finding the Fourth Proportional to 808.27, 1,210.31 and 561.11

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Solution

The fourth proportional to 808.27, 1,210.31 and 561.11 is: 840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.27 : 1,210.31 = 561.11 : x
  2. Step 2: Convert to fraction form
    808.27/1,210.31 = 561.11/x
  3. Step 3: Cross multiply
    808.27x = 1,210.31 × 561.11
  4. Step 4: Simplify right side
    808.27x = 679,117.10
  5. Step 5: Solve for x
    x = 679,117.10/808.27
  6. Step 6: Final answer
    x = 840.21

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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.