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Finding the Fourth Proportional to 821.94, 1,133.65 and 771.54

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Solution

The fourth proportional to 821.94, 1,133.65 and 771.54 is: 1,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.94 : 1,133.65 = 771.54 : x
  2. Step 2: Convert to fraction form
    821.94/1,133.65 = 771.54/x
  3. Step 3: Cross multiply
    821.94x = 1,133.65 × 771.54
  4. Step 4: Simplify right side
    821.94x = 874,656.32
  5. Step 5: Solve for x
    x = 874,656.32/821.94
  6. Step 6: Final answer
    x = 1,064.14

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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.