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Finding the Fourth Proportional to 1,005.34, 1,387.56 and 563.44

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Solution

The fourth proportional to 1,005.34, 1,387.56 and 563.44 is: 777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.34 : 1,387.56 = 563.44 : x
  2. Step 2: Convert to fraction form
    1,005.34/1,387.56 = 563.44/x
  3. Step 3: Cross multiply
    1,005.34x = 1,387.56 × 563.44
  4. Step 4: Simplify right side
    1,005.34x = 781,806.81
  5. Step 5: Solve for x
    x = 781,806.81/1,005.34
  6. Step 6: Final answer
    x = 777.65

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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.