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Finding the Fourth Proportional to 1,501.99, 2,072.39 and 872.14

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Solution

The fourth proportional to 1,501.99, 2,072.39 and 872.14 is: 1,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.99 : 2,072.39 = 872.14 : x
  2. Step 2: Convert to fraction form
    1,501.99/2,072.39 = 872.14/x
  3. Step 3: Cross multiply
    1,501.99x = 2,072.39 × 872.14
  4. Step 4: Simplify right side
    1,501.99x = 1,807,408.63
  5. Step 5: Solve for x
    x = 1,807,408.63/1,501.99
  6. Step 6: Final answer
    x = 1,203.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.