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Finding the Fourth Proportional to 651.67, 976.43 and 569.59

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Solution

The fourth proportional to 651.67, 976.43 and 569.59 is: 853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.67 : 976.43 = 569.59 : x
  2. Step 2: Convert to fraction form
    651.67/976.43 = 569.59/x
  3. Step 3: Cross multiply
    651.67x = 976.43 × 569.59
  4. Step 4: Simplify right side
    651.67x = 556,161.92
  5. Step 5: Solve for x
    x = 556,161.92/651.67
  6. Step 6: Final answer
    x = 853.44

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