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Finding the Fourth Proportional to 1,309.59, 1,807.34 and 866.72

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Solution

The fourth proportional to 1,309.59, 1,807.34 and 866.72 is: 1,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.59 : 1,807.34 = 866.72 : x
  2. Step 2: Convert to fraction form
    1,309.59/1,807.34 = 866.72/x
  3. Step 3: Cross multiply
    1,309.59x = 1,807.34 × 866.72
  4. Step 4: Simplify right side
    1,309.59x = 1,566,457.91
  5. Step 5: Solve for x
    x = 1,566,457.91/1,309.59
  6. Step 6: Final answer
    x = 1,196.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.