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Finding the Fourth Proportional to 1,089.57, 1,504.29 and 840.42

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Solution

The fourth proportional to 1,089.57, 1,504.29 and 840.42 is: 1,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.57 : 1,504.29 = 840.42 : x
  2. Step 2: Convert to fraction form
    1,089.57/1,504.29 = 840.42/x
  3. Step 3: Cross multiply
    1,089.57x = 1,504.29 × 840.42
  4. Step 4: Simplify right side
    1,089.57x = 1,264,235.40
  5. Step 5: Solve for x
    x = 1,264,235.40/1,089.57
  6. Step 6: Final answer
    x = 1,160.31

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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.