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Finding the Fourth Proportional to 880.09, 1,213.50 and 755.35

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Solution

The fourth proportional to 880.09, 1,213.50 and 755.35 is: 1,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.09 : 1,213.50 = 755.35 : x
  2. Step 2: Convert to fraction form
    880.09/1,213.50 = 755.35/x
  3. Step 3: Cross multiply
    880.09x = 1,213.50 × 755.35
  4. Step 4: Simplify right side
    880.09x = 916,617.23
  5. Step 5: Solve for x
    x = 916,617.23/880.09
  6. Step 6: Final answer
    x = 1,041.50

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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.