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Finding the Fourth Proportional to 1,075.81, 1,613.26 and 382.65

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Solution

The fourth proportional to 1,075.81, 1,613.26 and 382.65 is: 573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.81 : 1,613.26 = 382.65 : x
  2. Step 2: Convert to fraction form
    1,075.81/1,613.26 = 382.65/x
  3. Step 3: Cross multiply
    1,075.81x = 1,613.26 × 382.65
  4. Step 4: Simplify right side
    1,075.81x = 617,319.44
  5. Step 5: Solve for x
    x = 617,319.44/1,075.81
  6. Step 6: Final answer
    x = 573.82

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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.