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Finding the Fourth Proportional to 716.51, 1,075.16 and 387.44

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Solution

The fourth proportional to 716.51, 1,075.16 and 387.44 is: 581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.51 : 1,075.16 = 387.44 : x
  2. Step 2: Convert to fraction form
    716.51/1,075.16 = 387.44/x
  3. Step 3: Cross multiply
    716.51x = 1,075.16 × 387.44
  4. Step 4: Simplify right side
    716.51x = 416,552.68
  5. Step 5: Solve for x
    x = 416,552.68/716.51
  6. Step 6: Final answer
    x = 581.37

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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.