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Finding the Fourth Proportional to 1,384.96, 1,911.26 and 755.49

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Solution

The fourth proportional to 1,384.96, 1,911.26 and 755.49 is: 1,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.96 : 1,911.26 = 755.49 : x
  2. Step 2: Convert to fraction form
    1,384.96/1,911.26 = 755.49/x
  3. Step 3: Cross multiply
    1,384.96x = 1,911.26 × 755.49
  4. Step 4: Simplify right side
    1,384.96x = 1,443,937.82
  5. Step 5: Solve for x
    x = 1,443,937.82/1,384.96
  6. Step 6: Final answer
    x = 1,042.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.