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Finding the Fourth Proportional to 1,334.27, 2,000.02 and 456.51

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Solution

The fourth proportional to 1,334.27, 2,000.02 and 456.51 is: 684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.27 : 2,000.02 = 456.51 : x
  2. Step 2: Convert to fraction form
    1,334.27/2,000.02 = 456.51/x
  3. Step 3: Cross multiply
    1,334.27x = 2,000.02 × 456.51
  4. Step 4: Simplify right side
    1,334.27x = 913,036.99
  5. Step 5: Solve for x
    x = 913,036.99/1,334.27
  6. Step 6: Final answer
    x = 684.30

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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.