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Finding the Fourth Proportional to 1,401.58, 1,934.19 and 772.09

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Solution

The fourth proportional to 1,401.58, 1,934.19 and 772.09 is: 1,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.58 : 1,934.19 = 772.09 : x
  2. Step 2: Convert to fraction form
    1,401.58/1,934.19 = 772.09/x
  3. Step 3: Cross multiply
    1,401.58x = 1,934.19 × 772.09
  4. Step 4: Simplify right side
    1,401.58x = 1,493,373.72
  5. Step 5: Solve for x
    x = 1,493,373.72/1,401.58
  6. Step 6: Final answer
    x = 1,065.49

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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.