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Finding the Fourth Proportional to 1,294.89, 1,941.72 and 554.46

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Solution

The fourth proportional to 1,294.89, 1,941.72 and 554.46 is: 831.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.89 : 1,941.72 = 554.46 : x
  2. Step 2: Convert to fraction form
    1,294.89/1,941.72 = 554.46/x
  3. Step 3: Cross multiply
    1,294.89x = 1,941.72 × 554.46
  4. Step 4: Simplify right side
    1,294.89x = 1,076,606.07
  5. Step 5: Solve for x
    x = 1,076,606.07/1,294.89
  6. Step 6: Final answer
    x = 831.43

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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.