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Finding the Fourth Proportional to 1,071.03, 1,597.50 and 976.71

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Solution

The fourth proportional to 1,071.03, 1,597.50 and 976.71 is: 1,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.03 : 1,597.50 = 976.71 : x
  2. Step 2: Convert to fraction form
    1,071.03/1,597.50 = 976.71/x
  3. Step 3: Cross multiply
    1,071.03x = 1,597.50 × 976.71
  4. Step 4: Simplify right side
    1,071.03x = 1,560,288.68
  5. Step 5: Solve for x
    x = 1,560,288.68/1,071.03
  6. Step 6: Final answer
    x = 1,456.82

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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.