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Finding the Fourth Proportional to 706.90, 975.50 and 412.26

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Solution

The fourth proportional to 706.90, 975.50 and 412.26 is: 568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.90 : 975.50 = 412.26 : x
  2. Step 2: Convert to fraction form
    706.90/975.50 = 412.26/x
  3. Step 3: Cross multiply
    706.90x = 975.50 × 412.26
  4. Step 4: Simplify right side
    706.90x = 402,159.63
  5. Step 5: Solve for x
    x = 402,159.63/706.90
  6. Step 6: Final answer
    x = 568.91

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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.