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Finding the Fourth Proportional to 866.40, 1,297.80 and 649.68

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Solution

The fourth proportional to 866.40, 1,297.80 and 649.68 is: 973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.40 : 1,297.80 = 649.68 : x
  2. Step 2: Convert to fraction form
    866.40/1,297.80 = 649.68/x
  3. Step 3: Cross multiply
    866.40x = 1,297.80 × 649.68
  4. Step 4: Simplify right side
    866.40x = 843,154.70
  5. Step 5: Solve for x
    x = 843,154.70/866.40
  6. Step 6: Final answer
    x = 973.17

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