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Finding the Fourth Proportional to 1,006.46, 1,388.54 and 586.74

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Solution

The fourth proportional to 1,006.46, 1,388.54 and 586.74 is: 809.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.46 : 1,388.54 = 586.74 : x
  2. Step 2: Convert to fraction form
    1,006.46/1,388.54 = 586.74/x
  3. Step 3: Cross multiply
    1,006.46x = 1,388.54 × 586.74
  4. Step 4: Simplify right side
    1,006.46x = 814,709.03
  5. Step 5: Solve for x
    x = 814,709.03/1,006.46
  6. Step 6: Final answer
    x = 809.48

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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.