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Finding the Fourth Proportional to 1,070.82, 1,599.69 and 697.59

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Solution

The fourth proportional to 1,070.82, 1,599.69 and 697.59 is: 1,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.82 : 1,599.69 = 697.59 : x
  2. Step 2: Convert to fraction form
    1,070.82/1,599.69 = 697.59/x
  3. Step 3: Cross multiply
    1,070.82x = 1,599.69 × 697.59
  4. Step 4: Simplify right side
    1,070.82x = 1,115,927.75
  5. Step 5: Solve for x
    x = 1,115,927.75/1,070.82
  6. Step 6: Final answer
    x = 1,042.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.