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Finding the Fourth Proportional to 1,075.66, 1,613.79 and 459.40

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Solution

The fourth proportional to 1,075.66, 1,613.79 and 459.40 is: 689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.66 : 1,613.79 = 459.40 : x
  2. Step 2: Convert to fraction form
    1,075.66/1,613.79 = 459.40/x
  3. Step 3: Cross multiply
    1,075.66x = 1,613.79 × 459.40
  4. Step 4: Simplify right side
    1,075.66x = 741,375.13
  5. Step 5: Solve for x
    x = 741,375.13/1,075.66
  6. Step 6: Final answer
    x = 689.23

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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.