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Finding the Fourth Proportional to 730.86, 1,097.64 and 609.36

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Solution

The fourth proportional to 730.86, 1,097.64 and 609.36 is: 915.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.86 : 1,097.64 = 609.36 : x
  2. Step 2: Convert to fraction form
    730.86/1,097.64 = 609.36/x
  3. Step 3: Cross multiply
    730.86x = 1,097.64 × 609.36
  4. Step 4: Simplify right side
    730.86x = 668,857.91
  5. Step 5: Solve for x
    x = 668,857.91/730.86
  6. Step 6: Final answer
    x = 915.17

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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.