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Finding the Fourth Proportional to 730.49, 1,006.36 and 582.86

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Solution

The fourth proportional to 730.49, 1,006.36 and 582.86 is: 802.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.49 : 1,006.36 = 582.86 : x
  2. Step 2: Convert to fraction form
    730.49/1,006.36 = 582.86/x
  3. Step 3: Cross multiply
    730.49x = 1,006.36 × 582.86
  4. Step 4: Simplify right side
    730.49x = 586,568.05
  5. Step 5: Solve for x
    x = 586,568.05/730.49
  6. Step 6: Final answer
    x = 802.98

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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.