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Finding the Fourth Proportional to 1,402.01, 1,934.79 and 772.56

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Solution

The fourth proportional to 1,402.01, 1,934.79 and 772.56 is: 1,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.01 : 1,934.79 = 772.56 : x
  2. Step 2: Convert to fraction form
    1,402.01/1,934.79 = 772.56/x
  3. Step 3: Cross multiply
    1,402.01x = 1,934.79 × 772.56
  4. Step 4: Simplify right side
    1,402.01x = 1,494,741.36
  5. Step 5: Solve for x
    x = 1,494,741.36/1,402.01
  6. Step 6: Final answer
    x = 1,066.14

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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.