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Finding the Fourth Proportional to 1,106.02, 1,525.74 and 773.72

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Solution

The fourth proportional to 1,106.02, 1,525.74 and 773.72 is: 1,067.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.02 : 1,525.74 = 773.72 : x
  2. Step 2: Convert to fraction form
    1,106.02/1,525.74 = 773.72/x
  3. Step 3: Cross multiply
    1,106.02x = 1,525.74 × 773.72
  4. Step 4: Simplify right side
    1,106.02x = 1,180,495.55
  5. Step 5: Solve for x
    x = 1,180,495.55/1,106.02
  6. Step 6: Final answer
    x = 1,067.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.