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Finding the Fourth Proportional to 1,005.24, 1,387.20 and 563.20

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Solution

The fourth proportional to 1,005.24, 1,387.20 and 563.20 is: 777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.24 : 1,387.20 = 563.20 : x
  2. Step 2: Convert to fraction form
    1,005.24/1,387.20 = 563.20/x
  3. Step 3: Cross multiply
    1,005.24x = 1,387.20 × 563.20
  4. Step 4: Simplify right side
    1,005.24x = 781,271.04
  5. Step 5: Solve for x
    x = 781,271.04/1,005.24
  6. Step 6: Final answer
    x = 777.20

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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.