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Finding the Fourth Proportional to 703.34, 1,059.77 and 584.27

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Solution

The fourth proportional to 703.34, 1,059.77 and 584.27 is: 880.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.34 : 1,059.77 = 584.27 : x
  2. Step 2: Convert to fraction form
    703.34/1,059.77 = 584.27/x
  3. Step 3: Cross multiply
    703.34x = 1,059.77 × 584.27
  4. Step 4: Simplify right side
    703.34x = 619,191.82
  5. Step 5: Solve for x
    x = 619,191.82/703.34
  6. Step 6: Final answer
    x = 880.36

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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.