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Finding the Fourth Proportional to 1,047.57, 1,446.66 and 897.33

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Solution

The fourth proportional to 1,047.57, 1,446.66 and 897.33 is: 1,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.57 : 1,446.66 = 897.33 : x
  2. Step 2: Convert to fraction form
    1,047.57/1,446.66 = 897.33/x
  3. Step 3: Cross multiply
    1,047.57x = 1,446.66 × 897.33
  4. Step 4: Simplify right side
    1,047.57x = 1,298,131.42
  5. Step 5: Solve for x
    x = 1,298,131.42/1,047.57
  6. Step 6: Final answer
    x = 1,239.18

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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.