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Finding the Fourth Proportional to 1,089.76, 1,504.44 and 840.54

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Solution

The fourth proportional to 1,089.76, 1,504.44 and 840.54 is: 1,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.76 : 1,504.44 = 840.54 : x
  2. Step 2: Convert to fraction form
    1,089.76/1,504.44 = 840.54/x
  3. Step 3: Cross multiply
    1,089.76x = 1,504.44 × 840.54
  4. Step 4: Simplify right side
    1,089.76x = 1,264,542.00
  5. Step 5: Solve for x
    x = 1,264,542.00/1,089.76
  6. Step 6: Final answer
    x = 1,160.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.