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Finding the Fourth Proportional to 705.96, 1,063.08 and 615.74

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Solution

The fourth proportional to 705.96, 1,063.08 and 615.74 is: 927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.96 : 1,063.08 = 615.74 : x
  2. Step 2: Convert to fraction form
    705.96/1,063.08 = 615.74/x
  3. Step 3: Cross multiply
    705.96x = 1,063.08 × 615.74
  4. Step 4: Simplify right side
    705.96x = 654,575.56
  5. Step 5: Solve for x
    x = 654,575.56/705.96
  6. Step 6: Final answer
    x = 927.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.