Home / 1,146.02-1,581.66-698.09

Finding the Fourth Proportional to 1,146.02, 1,581.66 and 698.09

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Solution

The fourth proportional to 1,146.02, 1,581.66 and 698.09 is: 963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.02 : 1,581.66 = 698.09 : x
  2. Step 2: Convert to fraction form
    1,146.02/1,581.66 = 698.09/x
  3. Step 3: Cross multiply
    1,146.02x = 1,581.66 × 698.09
  4. Step 4: Simplify right side
    1,146.02x = 1,104,133.12
  5. Step 5: Solve for x
    x = 1,104,133.12/1,146.02
  6. Step 6: Final answer
    x = 963.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.