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Finding the Fourth Proportional to 706.76, 975.16 and 613.34

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Solution

The fourth proportional to 706.76, 975.16 and 613.34 is: 846.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.76 : 975.16 = 613.34 : x
  2. Step 2: Convert to fraction form
    706.76/975.16 = 613.34/x
  3. Step 3: Cross multiply
    706.76x = 975.16 × 613.34
  4. Step 4: Simplify right side
    706.76x = 598,104.63
  5. Step 5: Solve for x
    x = 598,104.63/706.76
  6. Step 6: Final answer
    x = 846.26

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1.5x scale

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.