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Finding the Fourth Proportional to 1,005.12, 1,509.12 and 492.48

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Solution

The fourth proportional to 1,005.12, 1,509.12 and 492.48 is: 739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.12 : 1,509.12 = 492.48 : x
  2. Step 2: Convert to fraction form
    1,005.12/1,509.12 = 492.48/x
  3. Step 3: Cross multiply
    1,005.12x = 1,509.12 × 492.48
  4. Step 4: Simplify right side
    1,005.12x = 743,211.42
  5. Step 5: Solve for x
    x = 743,211.42/1,005.12
  6. Step 6: Final answer
    x = 739.43

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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.