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Finding the Fourth Proportional to 1,071.69, 1,615.75 and 1,057.87

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Solution

The fourth proportional to 1,071.69, 1,615.75 and 1,057.87 is: 1,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.69 : 1,615.75 = 1,057.87 : x
  2. Step 2: Convert to fraction form
    1,071.69/1,615.75 = 1,057.87/x
  3. Step 3: Cross multiply
    1,071.69x = 1,615.75 × 1,057.87
  4. Step 4: Simplify right side
    1,071.69x = 1,709,253.45
  5. Step 5: Solve for x
    x = 1,709,253.45/1,071.69
  6. Step 6: Final answer
    x = 1,594.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.