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Finding the Fourth Proportional to 1,397.41, 2,096.12 and 472.72

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Solution

The fourth proportional to 1,397.41, 2,096.12 and 472.72 is: 709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.41 : 2,096.12 = 472.72 : x
  2. Step 2: Convert to fraction form
    1,397.41/2,096.12 = 472.72/x
  3. Step 3: Cross multiply
    1,397.41x = 2,096.12 × 472.72
  4. Step 4: Simplify right side
    1,397.41x = 990,875.48
  5. Step 5: Solve for x
    x = 990,875.48/1,397.41
  6. Step 6: Final answer
    x = 709.08

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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.