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Finding the Fourth Proportional to 705.50, 1,059.16 and 597.97

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Solution

The fourth proportional to 705.50, 1,059.16 and 597.97 is: 897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.50 : 1,059.16 = 597.97 : x
  2. Step 2: Convert to fraction form
    705.50/1,059.16 = 597.97/x
  3. Step 3: Cross multiply
    705.50x = 1,059.16 × 597.97
  4. Step 4: Simplify right side
    705.50x = 633,345.91
  5. Step 5: Solve for x
    x = 633,345.91/705.50
  6. Step 6: Final answer
    x = 897.73

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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.