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Finding the Fourth Proportional to 706.95, 975.19 and 497.04

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Solution

The fourth proportional to 706.95, 975.19 and 497.04 is: 685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.95 : 975.19 = 497.04 : x
  2. Step 2: Convert to fraction form
    706.95/975.19 = 497.04/x
  3. Step 3: Cross multiply
    706.95x = 975.19 × 497.04
  4. Step 4: Simplify right side
    706.95x = 484,708.44
  5. Step 5: Solve for x
    x = 484,708.44/706.95
  6. Step 6: Final answer
    x = 685.63

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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.