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Finding the Fourth Proportional to 1,211.66, 1,816.16 and 553.87

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Solution

The fourth proportional to 1,211.66, 1,816.16 and 553.87 is: 830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.66 : 1,816.16 = 553.87 : x
  2. Step 2: Convert to fraction form
    1,211.66/1,816.16 = 553.87/x
  3. Step 3: Cross multiply
    1,211.66x = 1,816.16 × 553.87
  4. Step 4: Simplify right side
    1,211.66x = 1,005,909.23
  5. Step 5: Solve for x
    x = 1,005,909.23/1,211.66
  6. Step 6: Final answer
    x = 830.19

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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.