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Finding the Fourth Proportional to 1,402.11, 1,934.81 and 812.53

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Solution

The fourth proportional to 1,402.11, 1,934.81 and 812.53 is: 1,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.11 : 1,934.81 = 812.53 : x
  2. Step 2: Convert to fraction form
    1,402.11/1,934.81 = 812.53/x
  3. Step 3: Cross multiply
    1,402.11x = 1,934.81 × 812.53
  4. Step 4: Simplify right side
    1,402.11x = 1,572,094.86
  5. Step 5: Solve for x
    x = 1,572,094.86/1,402.11
  6. Step 6: Final answer
    x = 1,121.24

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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.