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Finding the Fourth Proportional to 1,402.55, 1,934.55 and 813.09

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Solution

The fourth proportional to 1,402.55, 1,934.55 and 813.09 is: 1,121.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.55 : 1,934.55 = 813.09 : x
  2. Step 2: Convert to fraction form
    1,402.55/1,934.55 = 813.09/x
  3. Step 3: Cross multiply
    1,402.55x = 1,934.55 × 813.09
  4. Step 4: Simplify right side
    1,402.55x = 1,572,963.26
  5. Step 5: Solve for x
    x = 1,572,963.26/1,402.55
  6. Step 6: Final answer
    x = 1,121.51

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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.