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Finding the Fourth Proportional to 644.70, 965.70 and 536.70

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Solution

The fourth proportional to 644.70, 965.70 and 536.70 is: 803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.70 : 965.70 = 536.70 : x
  2. Step 2: Convert to fraction form
    644.70/965.70 = 536.70/x
  3. Step 3: Cross multiply
    644.70x = 965.70 × 536.70
  4. Step 4: Simplify right side
    644.70x = 518,291.19
  5. Step 5: Solve for x
    x = 518,291.19/644.70
  6. Step 6: Final answer
    x = 803.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.