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Finding the Fourth Proportional to 569.71, 854.43 and 514.63

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Solution

The fourth proportional to 569.71, 854.43 and 514.63 is: 771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.71 : 854.43 = 514.63 : x
  2. Step 2: Convert to fraction form
    569.71/854.43 = 514.63/x
  3. Step 3: Cross multiply
    569.71x = 854.43 × 514.63
  4. Step 4: Simplify right side
    569.71x = 439,715.31
  5. Step 5: Solve for x
    x = 439,715.31/569.71
  6. Step 6: Final answer
    x = 771.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.