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Finding the Fourth Proportional to 1,407.34, 2,111.28 and 541.72

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Solution

The fourth proportional to 1,407.34, 2,111.28 and 541.72 is: 812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.34 : 2,111.28 = 541.72 : x
  2. Step 2: Convert to fraction form
    1,407.34/2,111.28 = 541.72/x
  3. Step 3: Cross multiply
    1,407.34x = 2,111.28 × 541.72
  4. Step 4: Simplify right side
    1,407.34x = 1,143,722.60
  5. Step 5: Solve for x
    x = 1,143,722.60/1,407.34
  6. Step 6: Final answer
    x = 812.68

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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.