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Finding the Fourth Proportional to 706.83, 975.42 and 412.14

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Solution

The fourth proportional to 706.83, 975.42 and 412.14 is: 568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.83 : 975.42 = 412.14 : x
  2. Step 2: Convert to fraction form
    706.83/975.42 = 412.14/x
  3. Step 3: Cross multiply
    706.83x = 975.42 × 412.14
  4. Step 4: Simplify right side
    706.83x = 402,009.60
  5. Step 5: Solve for x
    x = 402,009.60/706.83
  6. Step 6: Final answer
    x = 568.75

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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.