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Finding the Fourth Proportional to 1,397.35, 2,096.08 and 520.08

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Solution

The fourth proportional to 1,397.35, 2,096.08 and 520.08 is: 780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.35 : 2,096.08 = 520.08 : x
  2. Step 2: Convert to fraction form
    1,397.35/2,096.08 = 520.08/x
  3. Step 3: Cross multiply
    1,397.35x = 2,096.08 × 520.08
  4. Step 4: Simplify right side
    1,397.35x = 1,090,124.89
  5. Step 5: Solve for x
    x = 1,090,124.89/1,397.35
  6. Step 6: Final answer
    x = 780.13

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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.