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Finding the Fourth Proportional to 1,043.08, 1,566.20 and 655.49

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Solution

The fourth proportional to 1,043.08, 1,566.20 and 655.49 is: 984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.08 : 1,566.20 = 655.49 : x
  2. Step 2: Convert to fraction form
    1,043.08/1,566.20 = 655.49/x
  3. Step 3: Cross multiply
    1,043.08x = 1,566.20 × 655.49
  4. Step 4: Simplify right side
    1,043.08x = 1,026,633.99
  5. Step 5: Solve for x
    x = 1,026,633.99/1,043.08
  6. Step 6: Final answer
    x = 984.24

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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.