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Finding the Fourth Proportional to 1,003.19, 1,506.95 and 849.42

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Solution

The fourth proportional to 1,003.19, 1,506.95 and 849.42 is: 1,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.19 : 1,506.95 = 849.42 : x
  2. Step 2: Convert to fraction form
    1,003.19/1,506.95 = 849.42/x
  3. Step 3: Cross multiply
    1,003.19x = 1,506.95 × 849.42
  4. Step 4: Simplify right side
    1,003.19x = 1,280,033.47
  5. Step 5: Solve for x
    x = 1,280,033.47/1,003.19
  6. Step 6: Final answer
    x = 1,275.96

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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.