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Finding the Fourth Proportional to 1,075.33, 1,613.45 and 642.25

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Solution

The fourth proportional to 1,075.33, 1,613.45 and 642.25 is: 963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.33 : 1,613.45 = 642.25 : x
  2. Step 2: Convert to fraction form
    1,075.33/1,613.45 = 642.25/x
  3. Step 3: Cross multiply
    1,075.33x = 1,613.45 × 642.25
  4. Step 4: Simplify right side
    1,075.33x = 1,036,238.26
  5. Step 5: Solve for x
    x = 1,036,238.26/1,075.33
  6. Step 6: Final answer
    x = 963.65

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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.