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Finding the Fourth Proportional to 1,006.12, 1,509.16 and 492.76

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Solution

The fourth proportional to 1,006.12, 1,509.16 and 492.76 is: 739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.12 : 1,509.16 = 492.76 : x
  2. Step 2: Convert to fraction form
    1,006.12/1,509.16 = 492.76/x
  3. Step 3: Cross multiply
    1,006.12x = 1,509.16 × 492.76
  4. Step 4: Simplify right side
    1,006.12x = 743,653.68
  5. Step 5: Solve for x
    x = 743,653.68/1,006.12
  6. Step 6: Final answer
    x = 739.13

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