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Finding the Fourth Proportional to 1,762.11, 2,642.30 and 650.75

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Solution

The fourth proportional to 1,762.11, 2,642.30 and 650.75 is: 975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.11 : 2,642.30 = 650.75 : x
  2. Step 2: Convert to fraction form
    1,762.11/2,642.30 = 650.75/x
  3. Step 3: Cross multiply
    1,762.11x = 2,642.30 × 650.75
  4. Step 4: Simplify right side
    1,762.11x = 1,719,460.26
  5. Step 5: Solve for x
    x = 1,719,460.26/1,762.11
  6. Step 6: Final answer
    x = 975.80

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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.