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Finding the Fourth Proportional to 706.95, 975.44 and 444.87

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Solution

The fourth proportional to 706.95, 975.44 and 444.87 is: 613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.95 : 975.44 = 444.87 : x
  2. Step 2: Convert to fraction form
    706.95/975.44 = 444.87/x
  3. Step 3: Cross multiply
    706.95x = 975.44 × 444.87
  4. Step 4: Simplify right side
    706.95x = 433,941.77
  5. Step 5: Solve for x
    x = 433,941.77/706.95
  6. Step 6: Final answer
    x = 613.82

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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.