Home / 1,107.28-1,659.60-457.84

Finding the Fourth Proportional to 1,107.28, 1,659.60 and 457.84

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Solution

The fourth proportional to 1,107.28, 1,659.60 and 457.84 is: 686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.28 : 1,659.60 = 457.84 : x
  2. Step 2: Convert to fraction form
    1,107.28/1,659.60 = 457.84/x
  3. Step 3: Cross multiply
    1,107.28x = 1,659.60 × 457.84
  4. Step 4: Simplify right side
    1,107.28x = 759,831.26
  5. Step 5: Solve for x
    x = 759,831.26/1,107.28
  6. Step 6: Final answer
    x = 686.21

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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.