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Finding the Fourth Proportional to 706.87, 975.69 and 412.27

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Solution

The fourth proportional to 706.87, 975.69 and 412.27 is: 569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.87 : 975.69 = 412.27 : x
  2. Step 2: Convert to fraction form
    706.87/975.69 = 412.27/x
  3. Step 3: Cross multiply
    706.87x = 975.69 × 412.27
  4. Step 4: Simplify right side
    706.87x = 402,247.72
  5. Step 5: Solve for x
    x = 402,247.72/706.87
  6. Step 6: Final answer
    x = 569.05

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