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Finding the Fourth Proportional to 1,008.08, 1,512.44 and 392.07

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Solution

The fourth proportional to 1,008.08, 1,512.44 and 392.07 is: 588.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.08 : 1,512.44 = 392.07 : x
  2. Step 2: Convert to fraction form
    1,008.08/1,512.44 = 392.07/x
  3. Step 3: Cross multiply
    1,008.08x = 1,512.44 × 392.07
  4. Step 4: Simplify right side
    1,008.08x = 592,987.53
  5. Step 5: Solve for x
    x = 592,987.53/1,008.08
  6. Step 6: Final answer
    x = 588.24

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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.