Home / 1,032.16-1,548.24-262.66

Finding the Fourth Proportional to 1,032.16, 1,548.24 and 262.66

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Solution

The fourth proportional to 1,032.16, 1,548.24 and 262.66 is: 393.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.16 : 1,548.24 = 262.66 : x
  2. Step 2: Convert to fraction form
    1,032.16/1,548.24 = 262.66/x
  3. Step 3: Cross multiply
    1,032.16x = 1,548.24 × 262.66
  4. Step 4: Simplify right side
    1,032.16x = 406,660.72
  5. Step 5: Solve for x
    x = 406,660.72/1,032.16
  6. Step 6: Final answer
    x = 393.99

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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.