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Finding the Fourth Proportional to 819.47, 1,129.32 and 598.01

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Solution

The fourth proportional to 819.47, 1,129.32 and 598.01 is: 824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.47 : 1,129.32 = 598.01 : x
  2. Step 2: Convert to fraction form
    819.47/1,129.32 = 598.01/x
  3. Step 3: Cross multiply
    819.47x = 1,129.32 × 598.01
  4. Step 4: Simplify right side
    819.47x = 675,339.01
  5. Step 5: Solve for x
    x = 675,339.01/819.47
  6. Step 6: Final answer
    x = 824.12

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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.