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Finding the Fourth Proportional to 569.94, 849.89 and 525.06

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Solution

The fourth proportional to 569.94, 849.89 and 525.06 is: 782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.94 : 849.89 = 525.06 : x
  2. Step 2: Convert to fraction form
    569.94/849.89 = 525.06/x
  3. Step 3: Cross multiply
    569.94x = 849.89 × 525.06
  4. Step 4: Simplify right side
    569.94x = 446,243.24
  5. Step 5: Solve for x
    x = 446,243.24/569.94
  6. Step 6: Final answer
    x = 782.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.