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Finding the Fourth Proportional to 751.29, 1,035.25 and 582.22

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Solution

The fourth proportional to 751.29, 1,035.25 and 582.22 is: 802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.29 : 1,035.25 = 582.22 : x
  2. Step 2: Convert to fraction form
    751.29/1,035.25 = 582.22/x
  3. Step 3: Cross multiply
    751.29x = 1,035.25 × 582.22
  4. Step 4: Simplify right side
    751.29x = 602,743.26
  5. Step 5: Solve for x
    x = 602,743.26/751.29
  6. Step 6: Final answer
    x = 802.28

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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.