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Finding the Fourth Proportional to 730.95, 1,095.32 and 548.24

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Solution

The fourth proportional to 730.95, 1,095.32 and 548.24 is: 821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.95 : 1,095.32 = 548.24 : x
  2. Step 2: Convert to fraction form
    730.95/1,095.32 = 548.24/x
  3. Step 3: Cross multiply
    730.95x = 1,095.32 × 548.24
  4. Step 4: Simplify right side
    730.95x = 600,490.02
  5. Step 5: Solve for x
    x = 600,490.02/730.95
  6. Step 6: Final answer
    x = 821.52

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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.