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Finding the Fourth Proportional to 1,120.02, 1,677.60 and 685.86

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Solution

The fourth proportional to 1,120.02, 1,677.60 and 685.86 is: 1,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.02 : 1,677.60 = 685.86 : x
  2. Step 2: Convert to fraction form
    1,120.02/1,677.60 = 685.86/x
  3. Step 3: Cross multiply
    1,120.02x = 1,677.60 × 685.86
  4. Step 4: Simplify right side
    1,120.02x = 1,150,598.74
  5. Step 5: Solve for x
    x = 1,150,598.74/1,120.02
  6. Step 6: Final answer
    x = 1,027.30

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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.