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Finding the Fourth Proportional to 1,029.93, 1,537.28 and 900.69

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Solution

The fourth proportional to 1,029.93, 1,537.28 and 900.69 is: 1,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.93 : 1,537.28 = 900.69 : x
  2. Step 2: Convert to fraction form
    1,029.93/1,537.28 = 900.69/x
  3. Step 3: Cross multiply
    1,029.93x = 1,537.28 × 900.69
  4. Step 4: Simplify right side
    1,029.93x = 1,384,608.22
  5. Step 5: Solve for x
    x = 1,384,608.22/1,029.93
  6. Step 6: Final answer
    x = 1,344.37

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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.