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Finding the Fourth Proportional to 730.04, 1,093.94 and 318.93

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Solution

The fourth proportional to 730.04, 1,093.94 and 318.93 is: 477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.04 : 1,093.94 = 318.93 : x
  2. Step 2: Convert to fraction form
    730.04/1,093.94 = 318.93/x
  3. Step 3: Cross multiply
    730.04x = 1,093.94 × 318.93
  4. Step 4: Simplify right side
    730.04x = 348,888.69
  5. Step 5: Solve for x
    x = 348,888.69/730.04
  6. Step 6: Final answer
    x = 477.91

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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.