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Finding the Fourth Proportional to 1,397.46, 2,095.65 and 409.98

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Solution

The fourth proportional to 1,397.46, 2,095.65 and 409.98 is: 614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.46 : 2,095.65 = 409.98 : x
  2. Step 2: Convert to fraction form
    1,397.46/2,095.65 = 409.98/x
  3. Step 3: Cross multiply
    1,397.46x = 2,095.65 × 409.98
  4. Step 4: Simplify right side
    1,397.46x = 859,174.59
  5. Step 5: Solve for x
    x = 859,174.59/1,397.46
  6. Step 6: Final answer
    x = 614.81

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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.