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Finding the Fourth Proportional to 1,207.64, 1,811.48 and 341.92

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Solution

The fourth proportional to 1,207.64, 1,811.48 and 341.92 is: 512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.64 : 1,811.48 = 341.92 : x
  2. Step 2: Convert to fraction form
    1,207.64/1,811.48 = 341.92/x
  3. Step 3: Cross multiply
    1,207.64x = 1,811.48 × 341.92
  4. Step 4: Simplify right side
    1,207.64x = 619,381.24
  5. Step 5: Solve for x
    x = 619,381.24/1,207.64
  6. Step 6: Final answer
    x = 512.89

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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.