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Finding the Fourth Proportional to 577.08, 790.68 and 569.88

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Solution

The fourth proportional to 577.08, 790.68 and 569.88 is: 780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.08 : 790.68 = 569.88 : x
  2. Step 2: Convert to fraction form
    577.08/790.68 = 569.88/x
  3. Step 3: Cross multiply
    577.08x = 790.68 × 569.88
  4. Step 4: Simplify right side
    577.08x = 450,592.72
  5. Step 5: Solve for x
    x = 450,592.72/577.08
  6. Step 6: Final answer
    x = 780.81

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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.