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Finding the Fourth Proportional to 706.84, 975.44 and 412.13

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Solution

The fourth proportional to 706.84, 975.44 and 412.13 is: 568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.84 : 975.44 = 412.13 : x
  2. Step 2: Convert to fraction form
    706.84/975.44 = 412.13/x
  3. Step 3: Cross multiply
    706.84x = 975.44 × 412.13
  4. Step 4: Simplify right side
    706.84x = 402,008.09
  5. Step 5: Solve for x
    x = 402,008.09/706.84
  6. Step 6: Final answer
    x = 568.74

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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.