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Finding the Fourth Proportional to 1,116.76, 1,547.82 and 1,096.02

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Solution

The fourth proportional to 1,116.76, 1,547.82 and 1,096.02 is: 1,519.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.76 : 1,547.82 = 1,096.02 : x
  2. Step 2: Convert to fraction form
    1,116.76/1,547.82 = 1,096.02/x
  3. Step 3: Cross multiply
    1,116.76x = 1,547.82 × 1,096.02
  4. Step 4: Simplify right side
    1,116.76x = 1,696,441.68
  5. Step 5: Solve for x
    x = 1,696,441.68/1,116.76
  6. Step 6: Final answer
    x = 1,519.07

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.