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Finding the Fourth Proportional to 705.03, 1,056.15 and 531.87

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Solution

The fourth proportional to 705.03, 1,056.15 and 531.87 is: 796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.03 : 1,056.15 = 531.87 : x
  2. Step 2: Convert to fraction form
    705.03/1,056.15 = 531.87/x
  3. Step 3: Cross multiply
    705.03x = 1,056.15 × 531.87
  4. Step 4: Simplify right side
    705.03x = 561,734.50
  5. Step 5: Solve for x
    x = 561,734.50/705.03
  6. Step 6: Final answer
    x = 796.75

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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.