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Finding the Fourth Proportional to 1,075.87, 1,614 and 417.70

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Solution

The fourth proportional to 1,075.87, 1,614 and 417.70 is: 626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.87 : 1,614 = 417.70 : x
  2. Step 2: Convert to fraction form
    1,075.87/1,614 = 417.70/x
  3. Step 3: Cross multiply
    1,075.87x = 1,614 × 417.70
  4. Step 4: Simplify right side
    1,075.87x = 674,167.80
  5. Step 5: Solve for x
    x = 674,167.80/1,075.87
  6. Step 6: Final answer
    x = 626.63

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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.