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Finding the Fourth Proportional to 1,397.52, 2,097.51 and 730.86

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Solution

The fourth proportional to 1,397.52, 2,097.51 and 730.86 is: 1,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.52 : 2,097.51 = 730.86 : x
  2. Step 2: Convert to fraction form
    1,397.52/2,097.51 = 730.86/x
  3. Step 3: Cross multiply
    1,397.52x = 2,097.51 × 730.86
  4. Step 4: Simplify right side
    1,397.52x = 1,532,986.16
  5. Step 5: Solve for x
    x = 1,532,986.16/1,397.52
  6. Step 6: Final answer
    x = 1,096.93

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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.