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Finding the Fourth Proportional to 1,430.46, 2,143.80 and 650.57

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Solution

The fourth proportional to 1,430.46, 2,143.80 and 650.57 is: 974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.46 : 2,143.80 = 650.57 : x
  2. Step 2: Convert to fraction form
    1,430.46/2,143.80 = 650.57/x
  3. Step 3: Cross multiply
    1,430.46x = 2,143.80 × 650.57
  4. Step 4: Simplify right side
    1,430.46x = 1,394,681.25
  5. Step 5: Solve for x
    x = 1,394,681.25/1,430.46
  6. Step 6: Final answer
    x = 974.99

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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.