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Finding the Fourth Proportional to 744.68, 1,027.88 and 511.76

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Solution

The fourth proportional to 744.68, 1,027.88 and 511.76 is: 706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.68 : 1,027.88 = 511.76 : x
  2. Step 2: Convert to fraction form
    744.68/1,027.88 = 511.76/x
  3. Step 3: Cross multiply
    744.68x = 1,027.88 × 511.76
  4. Step 4: Simplify right side
    744.68x = 526,027.87
  5. Step 5: Solve for x
    x = 526,027.87/744.68
  6. Step 6: Final answer
    x = 706.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.