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Finding the Fourth Proportional to 1,292.68, 1,784.42 and 943.24

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Solution

The fourth proportional to 1,292.68, 1,784.42 and 943.24 is: 1,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.68 : 1,784.42 = 943.24 : x
  2. Step 2: Convert to fraction form
    1,292.68/1,784.42 = 943.24/x
  3. Step 3: Cross multiply
    1,292.68x = 1,784.42 × 943.24
  4. Step 4: Simplify right side
    1,292.68x = 1,683,136.32
  5. Step 5: Solve for x
    x = 1,683,136.32/1,292.68
  6. Step 6: Final answer
    x = 1,302.05

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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.