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Finding the Fourth Proportional to 1,436.07, 2,154.42 and 462.17

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Solution

The fourth proportional to 1,436.07, 2,154.42 and 462.17 is: 693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.07 : 2,154.42 = 462.17 : x
  2. Step 2: Convert to fraction form
    1,436.07/2,154.42 = 462.17/x
  3. Step 3: Cross multiply
    1,436.07x = 2,154.42 × 462.17
  4. Step 4: Simplify right side
    1,436.07x = 995,697.52
  5. Step 5: Solve for x
    x = 995,697.52/1,436.07
  6. Step 6: Final answer
    x = 693.35

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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.