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Finding the Fourth Proportional to 1,075.71, 1,613.70 and 459.51

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Solution

The fourth proportional to 1,075.71, 1,613.70 and 459.51 is: 689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.71 : 1,613.70 = 459.51 : x
  2. Step 2: Convert to fraction form
    1,075.71/1,613.70 = 459.51/x
  3. Step 3: Cross multiply
    1,075.71x = 1,613.70 × 459.51
  4. Step 4: Simplify right side
    1,075.71x = 741,511.29
  5. Step 5: Solve for x
    x = 741,511.29/1,075.71
  6. Step 6: Final answer
    x = 689.32

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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.