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Finding the Fourth Proportional to 999.29, 1,488.36 and 947.24

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Solution

The fourth proportional to 999.29, 1,488.36 and 947.24 is: 1,410.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.29 : 1,488.36 = 947.24 : x
  2. Step 2: Convert to fraction form
    999.29/1,488.36 = 947.24/x
  3. Step 3: Cross multiply
    999.29x = 1,488.36 × 947.24
  4. Step 4: Simplify right side
    999.29x = 1,409,826.68
  5. Step 5: Solve for x
    x = 1,409,826.68/999.29
  6. Step 6: Final answer
    x = 1,410.84

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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.