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Finding the Fourth Proportional to 1,091.02, 1,635.52 and 596.70

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Solution

The fourth proportional to 1,091.02, 1,635.52 and 596.70 is: 894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.02 : 1,635.52 = 596.70 : x
  2. Step 2: Convert to fraction form
    1,091.02/1,635.52 = 596.70/x
  3. Step 3: Cross multiply
    1,091.02x = 1,635.52 × 596.70
  4. Step 4: Simplify right side
    1,091.02x = 975,914.78
  5. Step 5: Solve for x
    x = 975,914.78/1,091.02
  6. Step 6: Final answer
    x = 894.50

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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.