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Finding the Fourth Proportional to 999.54, 1,490.77 and 964.71

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Solution

The fourth proportional to 999.54, 1,490.77 and 964.71 is: 1,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.54 : 1,490.77 = 964.71 : x
  2. Step 2: Convert to fraction form
    999.54/1,490.77 = 964.71/x
  3. Step 3: Cross multiply
    999.54x = 1,490.77 × 964.71
  4. Step 4: Simplify right side
    999.54x = 1,438,160.73
  5. Step 5: Solve for x
    x = 1,438,160.73/999.54
  6. Step 6: Final answer
    x = 1,438.82

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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.