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Finding the Fourth Proportional to 1,407.29, 1,941.86 and 883.49

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Solution

The fourth proportional to 1,407.29, 1,941.86 and 883.49 is: 1,219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.29 : 1,941.86 = 883.49 : x
  2. Step 2: Convert to fraction form
    1,407.29/1,941.86 = 883.49/x
  3. Step 3: Cross multiply
    1,407.29x = 1,941.86 × 883.49
  4. Step 4: Simplify right side
    1,407.29x = 1,715,609.47
  5. Step 5: Solve for x
    x = 1,715,609.47/1,407.29
  6. Step 6: Final answer
    x = 1,219.09

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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.