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Finding the Fourth Proportional to 890.94, 1,225.89 and 869.34

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Solution

The fourth proportional to 890.94, 1,225.89 and 869.34 is: 1,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.94 : 1,225.89 = 869.34 : x
  2. Step 2: Convert to fraction form
    890.94/1,225.89 = 869.34/x
  3. Step 3: Cross multiply
    890.94x = 1,225.89 × 869.34
  4. Step 4: Simplify right side
    890.94x = 1,065,715.21
  5. Step 5: Solve for x
    x = 1,065,715.21/890.94
  6. Step 6: Final answer
    x = 1,196.17

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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.