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Finding the Fourth Proportional to 730.61, 1,008.14 and 415.89

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Solution

The fourth proportional to 730.61, 1,008.14 and 415.89 is: 573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.61 : 1,008.14 = 415.89 : x
  2. Step 2: Convert to fraction form
    730.61/1,008.14 = 415.89/x
  3. Step 3: Cross multiply
    730.61x = 1,008.14 × 415.89
  4. Step 4: Simplify right side
    730.61x = 419,274.71
  5. Step 5: Solve for x
    x = 419,274.71/730.61
  6. Step 6: Final answer
    x = 573.87

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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.