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Finding the Fourth Proportional to 708.22, 975.99 and 500.86

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Solution

The fourth proportional to 708.22, 975.99 and 500.86 is: 690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.22 : 975.99 = 500.86 : x
  2. Step 2: Convert to fraction form
    708.22/975.99 = 500.86/x
  3. Step 3: Cross multiply
    708.22x = 975.99 × 500.86
  4. Step 4: Simplify right side
    708.22x = 488,834.35
  5. Step 5: Solve for x
    x = 488,834.35/708.22
  6. Step 6: Final answer
    x = 690.23

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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.