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Finding the Fourth Proportional to 1,005.82, 1,388.06 and 563.76

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Solution

The fourth proportional to 1,005.82, 1,388.06 and 563.76 is: 778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.82 : 1,388.06 = 563.76 : x
  2. Step 2: Convert to fraction form
    1,005.82/1,388.06 = 563.76/x
  3. Step 3: Cross multiply
    1,005.82x = 1,388.06 × 563.76
  4. Step 4: Simplify right side
    1,005.82x = 782,534.12
  5. Step 5: Solve for x
    x = 782,534.12/1,005.82
  6. Step 6: Final answer
    x = 778.01

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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.