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Finding the Fourth Proportional to 1,397.38, 2,095.86 and 409.93

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Solution

The fourth proportional to 1,397.38, 2,095.86 and 409.93 is: 614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.38 : 2,095.86 = 409.93 : x
  2. Step 2: Convert to fraction form
    1,397.38/2,095.86 = 409.93/x
  3. Step 3: Cross multiply
    1,397.38x = 2,095.86 × 409.93
  4. Step 4: Simplify right side
    1,397.38x = 859,155.89
  5. Step 5: Solve for x
    x = 859,155.89/1,397.38
  6. Step 6: Final answer
    x = 614.83

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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.