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Finding the Fourth Proportional to 819.37, 1,130.63 and 465.33

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Solution

The fourth proportional to 819.37, 1,130.63 and 465.33 is: 642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.37 : 1,130.63 = 465.33 : x
  2. Step 2: Convert to fraction form
    819.37/1,130.63 = 465.33/x
  3. Step 3: Cross multiply
    819.37x = 1,130.63 × 465.33
  4. Step 4: Simplify right side
    819.37x = 526,116.06
  5. Step 5: Solve for x
    x = 526,116.06/819.37
  6. Step 6: Final answer
    x = 642.10

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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.