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Finding the Fourth Proportional to 1,356.86, 2,035.40 and 432.55

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Solution

The fourth proportional to 1,356.86, 2,035.40 and 432.55 is: 648.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.86 : 2,035.40 = 432.55 : x
  2. Step 2: Convert to fraction form
    1,356.86/2,035.40 = 432.55/x
  3. Step 3: Cross multiply
    1,356.86x = 2,035.40 × 432.55
  4. Step 4: Simplify right side
    1,356.86x = 880,410.58
  5. Step 5: Solve for x
    x = 880,410.58/1,356.86
  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.