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Finding the Fourth Proportional to 708.03, 975.94 and 567.90

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Solution

The fourth proportional to 708.03, 975.94 and 567.90 is: 782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.03 : 975.94 = 567.90 : x
  2. Step 2: Convert to fraction form
    708.03/975.94 = 567.90/x
  3. Step 3: Cross multiply
    708.03x = 975.94 × 567.90
  4. Step 4: Simplify right side
    708.03x = 554,234.91
  5. Step 5: Solve for x
    x = 554,234.91/708.03
  6. Step 6: Final answer
    x = 782.78

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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.