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Finding the Fourth Proportional to 1,165.49, 1,748.08 and 462.69

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Solution

The fourth proportional to 1,165.49, 1,748.08 and 462.69 is: 693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.49 : 1,748.08 = 462.69 : x
  2. Step 2: Convert to fraction form
    1,165.49/1,748.08 = 462.69/x
  3. Step 3: Cross multiply
    1,165.49x = 1,748.08 × 462.69
  4. Step 4: Simplify right side
    1,165.49x = 808,814.80
  5. Step 5: Solve for x
    x = 808,814.80/1,165.49
  6. Step 6: Final answer
    x = 693.97

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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.