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Finding the Fourth Proportional to 1,097.94, 1,515.51 and 725.25

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Solution

The fourth proportional to 1,097.94, 1,515.51 and 725.25 is: 1,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.94 : 1,515.51 = 725.25 : x
  2. Step 2: Convert to fraction form
    1,097.94/1,515.51 = 725.25/x
  3. Step 3: Cross multiply
    1,097.94x = 1,515.51 × 725.25
  4. Step 4: Simplify right side
    1,097.94x = 1,099,123.63
  5. Step 5: Solve for x
    x = 1,099,123.63/1,097.94
  6. Step 6: Final answer
    x = 1,001.08

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Why These Related Problems?

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