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Finding the Fourth Proportional to 1,436.02, 2,154.02 and 462.20

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Solution

The fourth proportional to 1,436.02, 2,154.02 and 462.20 is: 693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.02 : 2,154.02 = 462.20 : x
  2. Step 2: Convert to fraction form
    1,436.02/2,154.02 = 462.20/x
  3. Step 3: Cross multiply
    1,436.02x = 2,154.02 × 462.20
  4. Step 4: Simplify right side
    1,436.02x = 995,588.04
  5. Step 5: Solve for x
    x = 995,588.04/1,436.02
  6. Step 6: Final answer
    x = 693.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.