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Finding the Fourth Proportional to 1,155.59, 1,733.08 and 425.37

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Solution

The fourth proportional to 1,155.59, 1,733.08 and 425.37 is: 637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.59 : 1,733.08 = 425.37 : x
  2. Step 2: Convert to fraction form
    1,155.59/1,733.08 = 425.37/x
  3. Step 3: Cross multiply
    1,155.59x = 1,733.08 × 425.37
  4. Step 4: Simplify right side
    1,155.59x = 737,200.24
  5. Step 5: Solve for x
    x = 737,200.24/1,155.59
  6. Step 6: Final answer
    x = 637.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.