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Finding the Fourth Proportional to 701.58, 967.26 and 569.16

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Solution

The fourth proportional to 701.58, 967.26 and 569.16 is: 784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.58 : 967.26 = 569.16 : x
  2. Step 2: Convert to fraction form
    701.58/967.26 = 569.16/x
  3. Step 3: Cross multiply
    701.58x = 967.26 × 569.16
  4. Step 4: Simplify right side
    701.58x = 550,525.70
  5. Step 5: Solve for x
    x = 550,525.70/701.58
  6. Step 6: Final answer
    x = 784.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.