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Finding the Fourth Proportional to 569.95, 781.42 and 559.01

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Solution

The fourth proportional to 569.95, 781.42 and 559.01 is: 766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.95 : 781.42 = 559.01 : x
  2. Step 2: Convert to fraction form
    569.95/781.42 = 559.01/x
  3. Step 3: Cross multiply
    569.95x = 781.42 × 559.01
  4. Step 4: Simplify right side
    569.95x = 436,821.59
  5. Step 5: Solve for x
    x = 436,821.59/569.95
  6. Step 6: Final answer
    x = 766.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.