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Finding the Fourth Proportional to 569.65, 857.89 and 501.91

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Solution

The fourth proportional to 569.65, 857.89 and 501.91 is: 755.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.65 : 857.89 = 501.91 : x
  2. Step 2: Convert to fraction form
    569.65/857.89 = 501.91/x
  3. Step 3: Cross multiply
    569.65x = 857.89 × 501.91
  4. Step 4: Simplify right side
    569.65x = 430,583.57
  5. Step 5: Solve for x
    x = 430,583.57/569.65
  6. Step 6: Final answer
    x = 755.87

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