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Finding the Fourth Proportional to 1,103.72, 1,655.74 and 334.28

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Solution

The fourth proportional to 1,103.72, 1,655.74 and 334.28 is: 501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.72 : 1,655.74 = 334.28 : x
  2. Step 2: Convert to fraction form
    1,103.72/1,655.74 = 334.28/x
  3. Step 3: Cross multiply
    1,103.72x = 1,655.74 × 334.28
  4. Step 4: Simplify right side
    1,103.72x = 553,480.77
  5. Step 5: Solve for x
    x = 553,480.77/1,103.72
  6. Step 6: Final answer
    x = 501.47

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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.