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Finding the Fourth Proportional to 1,075.29, 1,610.13 and 747.24

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Solution

The fourth proportional to 1,075.29, 1,610.13 and 747.24 is: 1,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.29 : 1,610.13 = 747.24 : x
  2. Step 2: Convert to fraction form
    1,075.29/1,610.13 = 747.24/x
  3. Step 3: Cross multiply
    1,075.29x = 1,610.13 × 747.24
  4. Step 4: Simplify right side
    1,075.29x = 1,203,153.54
  5. Step 5: Solve for x
    x = 1,203,153.54/1,075.29
  6. Step 6: Final answer
    x = 1,118.91

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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.