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Finding the Fourth Proportional to 1,005.50, 1,385.82 and 848.54

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Solution

The fourth proportional to 1,005.50, 1,385.82 and 848.54 is: 1,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.50 : 1,385.82 = 848.54 : x
  2. Step 2: Convert to fraction form
    1,005.50/1,385.82 = 848.54/x
  3. Step 3: Cross multiply
    1,005.50x = 1,385.82 × 848.54
  4. Step 4: Simplify right side
    1,005.50x = 1,175,927.17
  5. Step 5: Solve for x
    x = 1,175,927.17/1,005.50
  6. Step 6: Final answer
    x = 1,169.49

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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.