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Finding the Fourth Proportional to 1,094.23, 1,641.32 and 610.36

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Solution

The fourth proportional to 1,094.23, 1,641.32 and 610.36 is: 915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.23 : 1,641.32 = 610.36 : x
  2. Step 2: Convert to fraction form
    1,094.23/1,641.32 = 610.36/x
  3. Step 3: Cross multiply
    1,094.23x = 1,641.32 × 610.36
  4. Step 4: Simplify right side
    1,094.23x = 1,001,787.87
  5. Step 5: Solve for x
    x = 1,001,787.87/1,094.23
  6. Step 6: Final answer
    x = 915.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.