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Finding the Fourth Proportional to 1,075.61, 1,609.77 and 643.07

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Solution

The fourth proportional to 1,075.61, 1,609.77 and 643.07 is: 962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.61 : 1,609.77 = 643.07 : x
  2. Step 2: Convert to fraction form
    1,075.61/1,609.77 = 643.07/x
  3. Step 3: Cross multiply
    1,075.61x = 1,609.77 × 643.07
  4. Step 4: Simplify right side
    1,075.61x = 1,035,201.23
  5. Step 5: Solve for x
    x = 1,035,201.23/1,075.61
  6. Step 6: Final answer
    x = 962.43

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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.