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Finding the Fourth Proportional to 1,008.54, 1,509.84 and 983.70

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Solution

The fourth proportional to 1,008.54, 1,509.84 and 983.70 is: 1,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.54 : 1,509.84 = 983.70 : x
  2. Step 2: Convert to fraction form
    1,008.54/1,509.84 = 983.70/x
  3. Step 3: Cross multiply
    1,008.54x = 1,509.84 × 983.70
  4. Step 4: Simplify right side
    1,008.54x = 1,485,229.61
  5. Step 5: Solve for x
    x = 1,485,229.61/1,008.54
  6. Step 6: Final answer
    x = 1,472.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.