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Finding the Fourth Proportional to 730.24, 1,094.47 and 318.89

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Solution

The fourth proportional to 730.24, 1,094.47 and 318.89 is: 477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.24 : 1,094.47 = 318.89 : x
  2. Step 2: Convert to fraction form
    730.24/1,094.47 = 318.89/x
  3. Step 3: Cross multiply
    730.24x = 1,094.47 × 318.89
  4. Step 4: Simplify right side
    730.24x = 349,017.48
  5. Step 5: Solve for x
    x = 349,017.48/730.24
  6. Step 6: Final answer
    x = 477.95

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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.