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Finding the Fourth Proportional to 1,009.28, 1,513.46 and 392.51

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Solution

The fourth proportional to 1,009.28, 1,513.46 and 392.51 is: 588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.28 : 1,513.46 = 392.51 : x
  2. Step 2: Convert to fraction form
    1,009.28/1,513.46 = 392.51/x
  3. Step 3: Cross multiply
    1,009.28x = 1,513.46 × 392.51
  4. Step 4: Simplify right side
    1,009.28x = 594,052.95
  5. Step 5: Solve for x
    x = 594,052.95/1,009.28
  6. Step 6: Final answer
    x = 588.59

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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.