Home / 1,032.16-1,548.06-382.84

Finding the Fourth Proportional to 1,032.16, 1,548.06 and 382.84

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Solution

The fourth proportional to 1,032.16, 1,548.06 and 382.84 is: 574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.16 : 1,548.06 = 382.84 : x
  2. Step 2: Convert to fraction form
    1,032.16/1,548.06 = 382.84/x
  3. Step 3: Cross multiply
    1,032.16x = 1,548.06 × 382.84
  4. Step 4: Simplify right side
    1,032.16x = 592,659.29
  5. Step 5: Solve for x
    x = 592,659.29/1,032.16
  6. Step 6: Final answer
    x = 574.19

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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.