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Finding the Fourth Proportional to 1,207.64, 1,811.64 and 341.96

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Solution

The fourth proportional to 1,207.64, 1,811.64 and 341.96 is: 512.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.64 : 1,811.64 = 341.96 : x
  2. Step 2: Convert to fraction form
    1,207.64/1,811.64 = 341.96/x
  3. Step 3: Cross multiply
    1,207.64x = 1,811.64 × 341.96
  4. Step 4: Simplify right side
    1,207.64x = 619,499.36
  5. Step 5: Solve for x
    x = 619,499.36/1,207.64
  6. Step 6: Final answer
    x = 512.99

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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.