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Finding the Fourth Proportional to 1,436.39, 2,154.80 and 462.59

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Solution

The fourth proportional to 1,436.39, 2,154.80 and 462.59 is: 693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.39 : 2,154.80 = 462.59 : x
  2. Step 2: Convert to fraction form
    1,436.39/2,154.80 = 462.59/x
  3. Step 3: Cross multiply
    1,436.39x = 2,154.80 × 462.59
  4. Step 4: Simplify right side
    1,436.39x = 996,779.31
  5. Step 5: Solve for x
    x = 996,779.31/1,436.39
  6. Step 6: Final answer
    x = 693.95

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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.