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Finding the Fourth Proportional to 1,097.88, 1,515.42 and 705.96

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Solution

The fourth proportional to 1,097.88, 1,515.42 and 705.96 is: 974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.88 : 1,515.42 = 705.96 : x
  2. Step 2: Convert to fraction form
    1,097.88/1,515.42 = 705.96/x
  3. Step 3: Cross multiply
    1,097.88x = 1,515.42 × 705.96
  4. Step 4: Simplify right side
    1,097.88x = 1,069,825.90
  5. Step 5: Solve for x
    x = 1,069,825.90/1,097.88
  6. Step 6: Final answer
    x = 974.45

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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.