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Finding the Fourth Proportional to 1,335.40, 2,004.06 and 566.12

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Solution

The fourth proportional to 1,335.40, 2,004.06 and 566.12 is: 849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.40 : 2,004.06 = 566.12 : x
  2. Step 2: Convert to fraction form
    1,335.40/2,004.06 = 566.12/x
  3. Step 3: Cross multiply
    1,335.40x = 2,004.06 × 566.12
  4. Step 4: Simplify right side
    1,335.40x = 1,134,538.45
  5. Step 5: Solve for x
    x = 1,134,538.45/1,335.40
  6. Step 6: Final answer
    x = 849.59

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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.