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Finding the Fourth Proportional to 1,202.77, 1,804.16 and 553.96

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Solution

The fourth proportional to 1,202.77, 1,804.16 and 553.96 is: 830.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.77 : 1,804.16 = 553.96 : x
  2. Step 2: Convert to fraction form
    1,202.77/1,804.16 = 553.96/x
  3. Step 3: Cross multiply
    1,202.77x = 1,804.16 × 553.96
  4. Step 4: Simplify right side
    1,202.77x = 999,432.47
  5. Step 5: Solve for x
    x = 999,432.47/1,202.77
  6. Step 6: Final answer
    x = 830.94

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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.