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Finding the Fourth Proportional to 1,010.40, 1,393.66 and 976.54

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Solution

The fourth proportional to 1,010.40, 1,393.66 and 976.54 is: 1,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.40 : 1,393.66 = 976.54 : x
  2. Step 2: Convert to fraction form
    1,010.40/1,393.66 = 976.54/x
  3. Step 3: Cross multiply
    1,010.40x = 1,393.66 × 976.54
  4. Step 4: Simplify right side
    1,010.40x = 1,360,964.74
  5. Step 5: Solve for x
    x = 1,360,964.74/1,010.40
  6. Step 6: Final answer
    x = 1,346.96

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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.