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Finding the Fourth Proportional to 1,041.03, 1,561.71 and 694.46

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Solution

The fourth proportional to 1,041.03, 1,561.71 and 694.46 is: 1,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.03 : 1,561.71 = 694.46 : x
  2. Step 2: Convert to fraction form
    1,041.03/1,561.71 = 694.46/x
  3. Step 3: Cross multiply
    1,041.03x = 1,561.71 × 694.46
  4. Step 4: Simplify right side
    1,041.03x = 1,084,537.32
  5. Step 5: Solve for x
    x = 1,084,537.32/1,041.03
  6. Step 6: Final answer
    x = 1,041.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.