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Finding the Fourth Proportional to 1,643.60, 2,463.96 and 777.08

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Solution

The fourth proportional to 1,643.60, 2,463.96 and 777.08 is: 1,164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.60 : 2,463.96 = 777.08 : x
  2. Step 2: Convert to fraction form
    1,643.60/2,463.96 = 777.08/x
  3. Step 3: Cross multiply
    1,643.60x = 2,463.96 × 777.08
  4. Step 4: Simplify right side
    1,643.60x = 1,914,694.04
  5. Step 5: Solve for x
    x = 1,914,694.04/1,643.60
  6. Step 6: Final answer
    x = 1,164.94

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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.