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Finding the Fourth Proportional to 1,073.11, 1,595.54 and 1,029.37

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Solution

The fourth proportional to 1,073.11, 1,595.54 and 1,029.37 is: 1,530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.11 : 1,595.54 = 1,029.37 : x
  2. Step 2: Convert to fraction form
    1,073.11/1,595.54 = 1,029.37/x
  3. Step 3: Cross multiply
    1,073.11x = 1,595.54 × 1,029.37
  4. Step 4: Simplify right side
    1,073.11x = 1,642,401.01
  5. Step 5: Solve for x
    x = 1,642,401.01/1,073.11
  6. Step 6: Final answer
    x = 1,530.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.