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Finding the Fourth Proportional to 1,397.97, 1,929.30 and 925.05

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Solution

The fourth proportional to 1,397.97, 1,929.30 and 925.05 is: 1,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.97 : 1,929.30 = 925.05 : x
  2. Step 2: Convert to fraction form
    1,397.97/1,929.30 = 925.05/x
  3. Step 3: Cross multiply
    1,397.97x = 1,929.30 × 925.05
  4. Step 4: Simplify right side
    1,397.97x = 1,784,698.97
  5. Step 5: Solve for x
    x = 1,784,698.97/1,397.97
  6. Step 6: Final answer
    x = 1,276.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.