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Finding the Fourth Proportional to 1,284.72, 1,927.16 and 347.81

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Solution

The fourth proportional to 1,284.72, 1,927.16 and 347.81 is: 521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.72 : 1,927.16 = 347.81 : x
  2. Step 2: Convert to fraction form
    1,284.72/1,927.16 = 347.81/x
  3. Step 3: Cross multiply
    1,284.72x = 1,927.16 × 347.81
  4. Step 4: Simplify right side
    1,284.72x = 670,274.14
  5. Step 5: Solve for x
    x = 670,274.14/1,284.72
  6. Step 6: Final answer
    x = 521.73

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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.