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Finding the Fourth Proportional to 1,165.69, 1,748.57 and 332.88

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Solution

The fourth proportional to 1,165.69, 1,748.57 and 332.88 is: 499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.69 : 1,748.57 = 332.88 : x
  2. Step 2: Convert to fraction form
    1,165.69/1,748.57 = 332.88/x
  3. Step 3: Cross multiply
    1,165.69x = 1,748.57 × 332.88
  4. Step 4: Simplify right side
    1,165.69x = 582,063.98
  5. Step 5: Solve for x
    x = 582,063.98/1,165.69
  6. Step 6: Final answer
    x = 499.33

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Double scale
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1.5x scale

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.