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Finding the Fourth Proportional to 1,436.86, 2,155.53 and 571.90

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Solution

The fourth proportional to 1,436.86, 2,155.53 and 571.90 is: 857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.86 : 2,155.53 = 571.90 : x
  2. Step 2: Convert to fraction form
    1,436.86/2,155.53 = 571.90/x
  3. Step 3: Cross multiply
    1,436.86x = 2,155.53 × 571.90
  4. Step 4: Simplify right side
    1,436.86x = 1,232,747.61
  5. Step 5: Solve for x
    x = 1,232,747.61/1,436.86
  6. Step 6: Final answer
    x = 857.95

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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.