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Finding the Fourth Proportional to 1,007.85, 1,509.35 and 682.23

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Solution

The fourth proportional to 1,007.85, 1,509.35 and 682.23 is: 1,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.85 : 1,509.35 = 682.23 : x
  2. Step 2: Convert to fraction form
    1,007.85/1,509.35 = 682.23/x
  3. Step 3: Cross multiply
    1,007.85x = 1,509.35 × 682.23
  4. Step 4: Simplify right side
    1,007.85x = 1,029,720.44
  5. Step 5: Solve for x
    x = 1,029,720.44/1,007.85
  6. Step 6: Final answer
    x = 1,021.70

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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.