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Finding the Fourth Proportional to 1,005.33, 1,508.88 and 841.81

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Solution

The fourth proportional to 1,005.33, 1,508.88 and 841.81 is: 1,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.33 : 1,508.88 = 841.81 : x
  2. Step 2: Convert to fraction form
    1,005.33/1,508.88 = 841.81/x
  3. Step 3: Cross multiply
    1,005.33x = 1,508.88 × 841.81
  4. Step 4: Simplify right side
    1,005.33x = 1,270,190.27
  5. Step 5: Solve for x
    x = 1,270,190.27/1,005.33
  6. Step 6: Final answer
    x = 1,263.46

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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.