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Finding the Fourth Proportional to 1,043.52, 1,563.36 and 652.56

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Solution

The fourth proportional to 1,043.52, 1,563.36 and 652.56 is: 977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.52 : 1,563.36 = 652.56 : x
  2. Step 2: Convert to fraction form
    1,043.52/1,563.36 = 652.56/x
  3. Step 3: Cross multiply
    1,043.52x = 1,563.36 × 652.56
  4. Step 4: Simplify right side
    1,043.52x = 1,020,186.20
  5. Step 5: Solve for x
    x = 1,020,186.20/1,043.52
  6. Step 6: Final answer
    x = 977.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.