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Finding the Fourth Proportional to 1,165.54, 1,748.23 and 344.35

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Solution

The fourth proportional to 1,165.54, 1,748.23 and 344.35 is: 516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.54 : 1,748.23 = 344.35 : x
  2. Step 2: Convert to fraction form
    1,165.54/1,748.23 = 344.35/x
  3. Step 3: Cross multiply
    1,165.54x = 1,748.23 × 344.35
  4. Step 4: Simplify right side
    1,165.54x = 602,006.26
  5. Step 5: Solve for x
    x = 602,006.26/1,165.54
  6. Step 6: Final answer
    x = 516.50

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Double scale
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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.