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Finding the Fourth Proportional to 918.50, 1,269.94 and 877.70

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Solution

The fourth proportional to 918.50, 1,269.94 and 877.70 is: 1,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.50 : 1,269.94 = 877.70 : x
  2. Step 2: Convert to fraction form
    918.50/1,269.94 = 877.70/x
  3. Step 3: Cross multiply
    918.50x = 1,269.94 × 877.70
  4. Step 4: Simplify right side
    918.50x = 1,114,626.34
  5. Step 5: Solve for x
    x = 1,114,626.34/918.50
  6. Step 6: Final answer
    x = 1,213.53

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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.