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Finding the Fourth Proportional to 1,481.52, 2,222.34 and 507.72

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Solution

The fourth proportional to 1,481.52, 2,222.34 and 507.72 is: 761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.52 : 2,222.34 = 507.72 : x
  2. Step 2: Convert to fraction form
    1,481.52/2,222.34 = 507.72/x
  3. Step 3: Cross multiply
    1,481.52x = 2,222.34 × 507.72
  4. Step 4: Simplify right side
    1,481.52x = 1,128,326.46
  5. Step 5: Solve for x
    x = 1,128,326.46/1,481.52
  6. Step 6: Final answer
    x = 761.60

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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.