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Finding the Fourth Proportional to 1,428.23, 2,143.06 and 697.79

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Solution

The fourth proportional to 1,428.23, 2,143.06 and 697.79 is: 1,047.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.23 : 2,143.06 = 697.79 : x
  2. Step 2: Convert to fraction form
    1,428.23/2,143.06 = 697.79/x
  3. Step 3: Cross multiply
    1,428.23x = 2,143.06 × 697.79
  4. Step 4: Simplify right side
    1,428.23x = 1,495,409.45
  5. Step 5: Solve for x
    x = 1,495,409.45/1,428.23
  6. Step 6: Final answer
    x = 1,047.04

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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.