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Finding the Fourth Proportional to 999.27, 1,488.36 and 947.25

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Solution

The fourth proportional to 999.27, 1,488.36 and 947.25 is: 1,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.27 : 1,488.36 = 947.25 : x
  2. Step 2: Convert to fraction form
    999.27/1,488.36 = 947.25/x
  3. Step 3: Cross multiply
    999.27x = 1,488.36 × 947.25
  4. Step 4: Simplify right side
    999.27x = 1,409,849.01
  5. Step 5: Solve for x
    x = 1,409,849.01/999.27
  6. Step 6: Final answer
    x = 1,410.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.