Home / 1,161.60-1,742.22-431.01

Finding the Fourth Proportional to 1,161.60, 1,742.22 and 431.01

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Solution

The fourth proportional to 1,161.60, 1,742.22 and 431.01 is: 646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.60 : 1,742.22 = 431.01 : x
  2. Step 2: Convert to fraction form
    1,161.60/1,742.22 = 431.01/x
  3. Step 3: Cross multiply
    1,161.60x = 1,742.22 × 431.01
  4. Step 4: Simplify right side
    1,161.60x = 750,914.24
  5. Step 5: Solve for x
    x = 750,914.24/1,161.60
  6. Step 6: Final answer
    x = 646.45

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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.