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Finding the Fourth Proportional to 579.80, 783.45 and 579.80

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Solution

The fourth proportional to 579.80, 783.45 and 579.80 is: 783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.80 : 783.45 = 579.80 : x
  2. Step 2: Convert to fraction form
    579.80/783.45 = 579.80/x
  3. Step 3: Cross multiply
    579.80x = 783.45 × 579.80
  4. Step 4: Simplify right side
    579.80x = 454,244.31
  5. Step 5: Solve for x
    x = 454,244.31/579.80
  6. Step 6: Final answer
    x = 783.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.