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Finding the Fourth Proportional to 819.36, 1,130.40 and 509.04

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Solution

The fourth proportional to 819.36, 1,130.40 and 509.04 is: 702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.36 : 1,130.40 = 509.04 : x
  2. Step 2: Convert to fraction form
    819.36/1,130.40 = 509.04/x
  3. Step 3: Cross multiply
    819.36x = 1,130.40 × 509.04
  4. Step 4: Simplify right side
    819.36x = 575,418.82
  5. Step 5: Solve for x
    x = 575,418.82/819.36
  6. Step 6: Final answer
    x = 702.28

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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.