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Finding the Fourth Proportional to 708.37, 975.71 and 508.91

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Solution

The fourth proportional to 708.37, 975.71 and 508.91 is: 700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.37 : 975.71 = 508.91 : x
  2. Step 2: Convert to fraction form
    708.37/975.71 = 508.91/x
  3. Step 3: Cross multiply
    708.37x = 975.71 × 508.91
  4. Step 4: Simplify right side
    708.37x = 496,544.97
  5. Step 5: Solve for x
    x = 496,544.97/708.37
  6. Step 6: Final answer
    x = 700.97

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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.