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Finding the Fourth Proportional to 1,109.95, 1,663.36 and 848.94

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Solution

The fourth proportional to 1,109.95, 1,663.36 and 848.94 is: 1,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.95 : 1,663.36 = 848.94 : x
  2. Step 2: Convert to fraction form
    1,109.95/1,663.36 = 848.94/x
  3. Step 3: Cross multiply
    1,109.95x = 1,663.36 × 848.94
  4. Step 4: Simplify right side
    1,109.95x = 1,412,092.84
  5. Step 5: Solve for x
    x = 1,412,092.84/1,109.95
  6. Step 6: Final answer
    x = 1,272.21

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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.