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Finding the Fourth Proportional to 819.51, 1,130.89 and 465.41

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Solution

The fourth proportional to 819.51, 1,130.89 and 465.41 is: 642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.51 : 1,130.89 = 465.41 : x
  2. Step 2: Convert to fraction form
    819.51/1,130.89 = 465.41/x
  3. Step 3: Cross multiply
    819.51x = 1,130.89 × 465.41
  4. Step 4: Simplify right side
    819.51x = 526,330.05
  5. Step 5: Solve for x
    x = 526,330.05/819.51
  6. Step 6: Final answer
    x = 642.25

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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.