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Finding the Fourth Proportional to 1,103.52, 1,655.01 and 334.02

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Solution

The fourth proportional to 1,103.52, 1,655.01 and 334.02 is: 500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.52 : 1,655.01 = 334.02 : x
  2. Step 2: Convert to fraction form
    1,103.52/1,655.01 = 334.02/x
  3. Step 3: Cross multiply
    1,103.52x = 1,655.01 × 334.02
  4. Step 4: Simplify right side
    1,103.52x = 552,806.44
  5. Step 5: Solve for x
    x = 552,806.44/1,103.52
  6. Step 6: Final answer
    x = 500.95

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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.