Home / 1,132.02-1,698.26-402.11

Finding the Fourth Proportional to 1,132.02, 1,698.26 and 402.11

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Solution

The fourth proportional to 1,132.02, 1,698.26 and 402.11 is: 603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.02 : 1,698.26 = 402.11 : x
  2. Step 2: Convert to fraction form
    1,132.02/1,698.26 = 402.11/x
  3. Step 3: Cross multiply
    1,132.02x = 1,698.26 × 402.11
  4. Step 4: Simplify right side
    1,132.02x = 682,887.33
  5. Step 5: Solve for x
    x = 682,887.33/1,132.02
  6. Step 6: Final answer
    x = 603.25

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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.