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Finding the Fourth Proportional to 1,094.58, 1,637.56 and 845.85

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Solution

The fourth proportional to 1,094.58, 1,637.56 and 845.85 is: 1,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.58 : 1,637.56 = 845.85 : x
  2. Step 2: Convert to fraction form
    1,094.58/1,637.56 = 845.85/x
  3. Step 3: Cross multiply
    1,094.58x = 1,637.56 × 845.85
  4. Step 4: Simplify right side
    1,094.58x = 1,385,130.13
  5. Step 5: Solve for x
    x = 1,385,130.13/1,094.58
  6. Step 6: Final answer
    x = 1,265.44

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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.