Home / 1,188.12-1,782.25-457.75

Finding the Fourth Proportional to 1,188.12, 1,782.25 and 457.75

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Solution

The fourth proportional to 1,188.12, 1,782.25 and 457.75 is: 686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.12 : 1,782.25 = 457.75 : x
  2. Step 2: Convert to fraction form
    1,188.12/1,782.25 = 457.75/x
  3. Step 3: Cross multiply
    1,188.12x = 1,782.25 × 457.75
  4. Step 4: Simplify right side
    1,188.12x = 815,828.60
  5. Step 5: Solve for x
    x = 815,828.60/1,188.12
  6. Step 6: Final answer
    x = 686.66

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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.