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Finding the Fourth Proportional to 1,357.21, 2,035.68 and 432.60

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Solution

The fourth proportional to 1,357.21, 2,035.68 and 432.60 is: 648.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.21 : 2,035.68 = 432.60 : x
  2. Step 2: Convert to fraction form
    1,357.21/2,035.68 = 432.60/x
  3. Step 3: Cross multiply
    1,357.21x = 2,035.68 × 432.60
  4. Step 4: Simplify right side
    1,357.21x = 880,635.17
  5. Step 5: Solve for x
    x = 880,635.17/1,357.21
  6. Step 6: Final answer
    x = 648.86

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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.