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Finding the Fourth Proportional to 1,094.74, 1,509.50 and 832.30

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Solution

The fourth proportional to 1,094.74, 1,509.50 and 832.30 is: 1,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.74 : 1,509.50 = 832.30 : x
  2. Step 2: Convert to fraction form
    1,094.74/1,509.50 = 832.30/x
  3. Step 3: Cross multiply
    1,094.74x = 1,509.50 × 832.30
  4. Step 4: Simplify right side
    1,094.74x = 1,256,356.85
  5. Step 5: Solve for x
    x = 1,256,356.85/1,094.74
  6. Step 6: Final answer
    x = 1,147.63

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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.