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Finding the Fourth Proportional to 1,762.74, 2,643.81 and 464.22

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Solution

The fourth proportional to 1,762.74, 2,643.81 and 464.22 is: 696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.74 : 2,643.81 = 464.22 : x
  2. Step 2: Convert to fraction form
    1,762.74/2,643.81 = 464.22/x
  3. Step 3: Cross multiply
    1,762.74x = 2,643.81 × 464.22
  4. Step 4: Simplify right side
    1,762.74x = 1,227,309.48
  5. Step 5: Solve for x
    x = 1,227,309.48/1,762.74
  6. Step 6: Final answer
    x = 696.25

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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.