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Finding the Fourth Proportional to 779.93, 1,074.95 and 569.78

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Solution

The fourth proportional to 779.93, 1,074.95 and 569.78 is: 785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.93 : 1,074.95 = 569.78 : x
  2. Step 2: Convert to fraction form
    779.93/1,074.95 = 569.78/x
  3. Step 3: Cross multiply
    779.93x = 1,074.95 × 569.78
  4. Step 4: Simplify right side
    779.93x = 612,476.79
  5. Step 5: Solve for x
    x = 612,476.79/779.93
  6. Step 6: Final answer
    x = 785.30

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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.