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Finding the Fourth Proportional to 1,102.06, 1,653.66 and 898.96

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Solution

The fourth proportional to 1,102.06, 1,653.66 and 898.96 is: 1,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.06 : 1,653.66 = 898.96 : x
  2. Step 2: Convert to fraction form
    1,102.06/1,653.66 = 898.96/x
  3. Step 3: Cross multiply
    1,102.06x = 1,653.66 × 898.96
  4. Step 4: Simplify right side
    1,102.06x = 1,486,574.19
  5. Step 5: Solve for x
    x = 1,486,574.19/1,102.06
  6. Step 6: Final answer
    x = 1,348.90

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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.