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Finding the Fourth Proportional to 1,002.92, 1,384.26 and 589.16

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Solution

The fourth proportional to 1,002.92, 1,384.26 and 589.16 is: 813.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.92 : 1,384.26 = 589.16 : x
  2. Step 2: Convert to fraction form
    1,002.92/1,384.26 = 589.16/x
  3. Step 3: Cross multiply
    1,002.92x = 1,384.26 × 589.16
  4. Step 4: Simplify right side
    1,002.92x = 815,550.62
  5. Step 5: Solve for x
    x = 815,550.62/1,002.92
  6. Step 6: Final answer
    x = 813.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.