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Finding the Fourth Proportional to 1,075.18, 1,613.31 and 801.82

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Solution

The fourth proportional to 1,075.18, 1,613.31 and 801.82 is: 1,203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.18 : 1,613.31 = 801.82 : x
  2. Step 2: Convert to fraction form
    1,075.18/1,613.31 = 801.82/x
  3. Step 3: Cross multiply
    1,075.18x = 1,613.31 × 801.82
  4. Step 4: Simplify right side
    1,075.18x = 1,293,584.22
  5. Step 5: Solve for x
    x = 1,293,584.22/1,075.18
  6. Step 6: Final answer
    x = 1,203.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.