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Finding the Fourth Proportional to 706.90, 975.66 and 470.86

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Solution

The fourth proportional to 706.90, 975.66 and 470.86 is: 649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.90 : 975.66 = 470.86 : x
  2. Step 2: Convert to fraction form
    706.90/975.66 = 470.86/x
  3. Step 3: Cross multiply
    706.90x = 975.66 × 470.86
  4. Step 4: Simplify right side
    706.90x = 459,394.39
  5. Step 5: Solve for x
    x = 459,394.39/706.90
  6. Step 6: Final answer
    x = 649.88

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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.