Home / 1,161.02-1,741.70-430.42

Finding the Fourth Proportional to 1,161.02, 1,741.70 and 430.42

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Solution

The fourth proportional to 1,161.02, 1,741.70 and 430.42 is: 645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.02 : 1,741.70 = 430.42 : x
  2. Step 2: Convert to fraction form
    1,161.02/1,741.70 = 430.42/x
  3. Step 3: Cross multiply
    1,161.02x = 1,741.70 × 430.42
  4. Step 4: Simplify right side
    1,161.02x = 749,662.51
  5. Step 5: Solve for x
    x = 749,662.51/1,161.02
  6. Step 6: Final answer
    x = 645.69

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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.