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Finding the Fourth Proportional to 1,009.04, 1,513.24 and 392.82

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Solution

The fourth proportional to 1,009.04, 1,513.24 and 392.82 is: 589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.04 : 1,513.24 = 392.82 : x
  2. Step 2: Convert to fraction form
    1,009.04/1,513.24 = 392.82/x
  3. Step 3: Cross multiply
    1,009.04x = 1,513.24 × 392.82
  4. Step 4: Simplify right side
    1,009.04x = 594,430.94
  5. Step 5: Solve for x
    x = 594,430.94/1,009.04
  6. Step 6: Final answer
    x = 589.11

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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.