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Finding the Fourth Proportional to 577.56, 869.76 and 520.44

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Solution

The fourth proportional to 577.56, 869.76 and 520.44 is: 783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.56 : 869.76 = 520.44 : x
  2. Step 2: Convert to fraction form
    577.56/869.76 = 520.44/x
  3. Step 3: Cross multiply
    577.56x = 869.76 × 520.44
  4. Step 4: Simplify right side
    577.56x = 452,657.89
  5. Step 5: Solve for x
    x = 452,657.89/577.56
  6. Step 6: Final answer
    x = 783.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.