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Finding the Fourth Proportional to 1,435.94, 2,153.91 and 462.09

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Solution

The fourth proportional to 1,435.94, 2,153.91 and 462.09 is: 693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.94 : 2,153.91 = 462.09 : x
  2. Step 2: Convert to fraction form
    1,435.94/2,153.91 = 462.09/x
  3. Step 3: Cross multiply
    1,435.94x = 2,153.91 × 462.09
  4. Step 4: Simplify right side
    1,435.94x = 995,300.27
  5. Step 5: Solve for x
    x = 995,300.27/1,435.94
  6. Step 6: Final answer
    x = 693.14

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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.