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Finding the Fourth Proportional to 1,006.14, 1,509.54 and 492.78

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Solution

The fourth proportional to 1,006.14, 1,509.54 and 492.78 is: 739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.14 : 1,509.54 = 492.78 : x
  2. Step 2: Convert to fraction form
    1,006.14/1,509.54 = 492.78/x
  3. Step 3: Cross multiply
    1,006.14x = 1,509.54 × 492.78
  4. Step 4: Simplify right side
    1,006.14x = 743,871.12
  5. Step 5: Solve for x
    x = 743,871.12/1,006.14
  6. Step 6: Final answer
    x = 739.33

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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.