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Finding the Fourth Proportional to 809.01, 1,206.93 and 720.78

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Solution

The fourth proportional to 809.01, 1,206.93 and 720.78 is: 1,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.01 : 1,206.93 = 720.78 : x
  2. Step 2: Convert to fraction form
    809.01/1,206.93 = 720.78/x
  3. Step 3: Cross multiply
    809.01x = 1,206.93 × 720.78
  4. Step 4: Simplify right side
    809.01x = 869,931.01
  5. Step 5: Solve for x
    x = 869,931.01/809.01
  6. Step 6: Final answer
    x = 1,075.30

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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.