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Finding the Fourth Proportional to 1,196.34, 1,649.07 and 1,095.90

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Solution

The fourth proportional to 1,196.34, 1,649.07 and 1,095.90 is: 1,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.34 : 1,649.07 = 1,095.90 : x
  2. Step 2: Convert to fraction form
    1,196.34/1,649.07 = 1,095.90/x
  3. Step 3: Cross multiply
    1,196.34x = 1,649.07 × 1,095.90
  4. Step 4: Simplify right side
    1,196.34x = 1,807,215.81
  5. Step 5: Solve for x
    x = 1,807,215.81/1,196.34
  6. Step 6: Final answer
    x = 1,510.62

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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.