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Finding the Fourth Proportional to 647.70, 908.70 and 647.70

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Solution

The fourth proportional to 647.70, 908.70 and 647.70 is: 908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.70 : 908.70 = 647.70 : x
  2. Step 2: Convert to fraction form
    647.70/908.70 = 647.70/x
  3. Step 3: Cross multiply
    647.70x = 908.70 × 647.70
  4. Step 4: Simplify right side
    647.70x = 588,564.99
  5. Step 5: Solve for x
    x = 588,564.99/647.70
  6. Step 6: Final answer
    x = 908.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.