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Finding the Fourth Proportional to 808.65, 1,210.21 and 686.54

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Solution

The fourth proportional to 808.65, 1,210.21 and 686.54 is: 1,027.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.65 : 1,210.21 = 686.54 : x
  2. Step 2: Convert to fraction form
    808.65/1,210.21 = 686.54/x
  3. Step 3: Cross multiply
    808.65x = 1,210.21 × 686.54
  4. Step 4: Simplify right side
    808.65x = 830,858.88
  5. Step 5: Solve for x
    x = 830,858.88/808.65
  6. Step 6: Final answer
    x = 1,027.46

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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.