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Finding the Fourth Proportional to 1,407.92, 2,111.12 and 433.76

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Solution

The fourth proportional to 1,407.92, 2,111.12 and 433.76 is: 650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.92 : 2,111.12 = 433.76 : x
  2. Step 2: Convert to fraction form
    1,407.92/2,111.12 = 433.76/x
  3. Step 3: Cross multiply
    1,407.92x = 2,111.12 × 433.76
  4. Step 4: Simplify right side
    1,407.92x = 915,719.41
  5. Step 5: Solve for x
    x = 915,719.41/1,407.92
  6. Step 6: Final answer
    x = 650.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.