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Finding the Fourth Proportional to 1,436.55, 2,154.66 and 462.57

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Solution

The fourth proportional to 1,436.55, 2,154.66 and 462.57 is: 693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.55 : 2,154.66 = 462.57 : x
  2. Step 2: Convert to fraction form
    1,436.55/2,154.66 = 462.57/x
  3. Step 3: Cross multiply
    1,436.55x = 2,154.66 × 462.57
  4. Step 4: Simplify right side
    1,436.55x = 996,667.99
  5. Step 5: Solve for x
    x = 996,667.99/1,436.55
  6. Step 6: Final answer
    x = 693.80

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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.