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Finding the Fourth Proportional to 1,165.03, 1,747.65 and 434.50

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Solution

The fourth proportional to 1,165.03, 1,747.65 and 434.50 is: 651.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.03 : 1,747.65 = 434.50 : x
  2. Step 2: Convert to fraction form
    1,165.03/1,747.65 = 434.50/x
  3. Step 3: Cross multiply
    1,165.03x = 1,747.65 × 434.50
  4. Step 4: Simplify right side
    1,165.03x = 759,353.93
  5. Step 5: Solve for x
    x = 759,353.93/1,165.03
  6. Step 6: Final answer
    x = 651.79

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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.