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Finding the Fourth Proportional to 720.40, 1,075.37 and 667

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Solution

The fourth proportional to 720.40, 1,075.37 and 667 is: 995.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.40 : 1,075.37 = 667 : x
  2. Step 2: Convert to fraction form
    720.40/1,075.37 = 667/x
  3. Step 3: Cross multiply
    720.40x = 1,075.37 × 667
  4. Step 4: Simplify right side
    720.40x = 717,271.79
  5. Step 5: Solve for x
    x = 717,271.79/720.40
  6. Step 6: Final answer
    x = 995.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.