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Finding the Fourth Proportional to 1,420.75, 2,131.13 and 394.75

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Solution

The fourth proportional to 1,420.75, 2,131.13 and 394.75 is: 592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.75 : 2,131.13 = 394.75 : x
  2. Step 2: Convert to fraction form
    1,420.75/2,131.13 = 394.75/x
  3. Step 3: Cross multiply
    1,420.75x = 2,131.13 × 394.75
  4. Step 4: Simplify right side
    1,420.75x = 841,263.57
  5. Step 5: Solve for x
    x = 841,263.57/1,420.75
  6. Step 6: Final answer
    x = 592.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.