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Finding the Fourth Proportional to 705.48, 1,059.24 and 584.52

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Solution

The fourth proportional to 705.48, 1,059.24 and 584.52 is: 877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.48 : 1,059.24 = 584.52 : x
  2. Step 2: Convert to fraction form
    705.48/1,059.24 = 584.52/x
  3. Step 3: Cross multiply
    705.48x = 1,059.24 × 584.52
  4. Step 4: Simplify right side
    705.48x = 619,146.96
  5. Step 5: Solve for x
    x = 619,146.96/705.48
  6. Step 6: Final answer
    x = 877.63

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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.