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Finding the Fourth Proportional to 1,005.06, 1,384.80 and 937.31

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Solution

The fourth proportional to 1,005.06, 1,384.80 and 937.31 is: 1,291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.06 : 1,384.80 = 937.31 : x
  2. Step 2: Convert to fraction form
    1,005.06/1,384.80 = 937.31/x
  3. Step 3: Cross multiply
    1,005.06x = 1,384.80 × 937.31
  4. Step 4: Simplify right side
    1,005.06x = 1,297,986.89
  5. Step 5: Solve for x
    x = 1,297,986.89/1,005.06
  6. Step 6: Final answer
    x = 1,291.45

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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.