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Finding the Fourth Proportional to 1,075.02, 1,610.70 and 663.27

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Solution

The fourth proportional to 1,075.02, 1,610.70 and 663.27 is: 993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.02 : 1,610.70 = 663.27 : x
  2. Step 2: Convert to fraction form
    1,075.02/1,610.70 = 663.27/x
  3. Step 3: Cross multiply
    1,075.02x = 1,610.70 × 663.27
  4. Step 4: Simplify right side
    1,075.02x = 1,068,328.99
  5. Step 5: Solve for x
    x = 1,068,328.99/1,075.02
  6. Step 6: Final answer
    x = 993.78

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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.