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Finding the Fourth Proportional to 1,005.93, 1,388.33 and 586.42

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Solution

The fourth proportional to 1,005.93, 1,388.33 and 586.42 is: 809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.93 : 1,388.33 = 586.42 : x
  2. Step 2: Convert to fraction form
    1,005.93/1,388.33 = 586.42/x
  3. Step 3: Cross multiply
    1,005.93x = 1,388.33 × 586.42
  4. Step 4: Simplify right side
    1,005.93x = 814,138.08
  5. Step 5: Solve for x
    x = 814,138.08/1,005.93
  6. Step 6: Final answer
    x = 809.34

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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.