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Finding the Fourth Proportional to 1,384.52, 2,075.30 and 689.82

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Solution

The fourth proportional to 1,384.52, 2,075.30 and 689.82 is: 1,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.52 : 2,075.30 = 689.82 : x
  2. Step 2: Convert to fraction form
    1,384.52/2,075.30 = 689.82/x
  3. Step 3: Cross multiply
    1,384.52x = 2,075.30 × 689.82
  4. Step 4: Simplify right side
    1,384.52x = 1,431,572.86
  5. Step 5: Solve for x
    x = 1,431,572.86/1,384.52
  6. Step 6: Final answer
    x = 1,033.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.