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Finding the Fourth Proportional to 653.76, 976.17 and 569.91

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Solution

The fourth proportional to 653.76, 976.17 and 569.91 is: 850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.76 : 976.17 = 569.91 : x
  2. Step 2: Convert to fraction form
    653.76/976.17 = 569.91/x
  3. Step 3: Cross multiply
    653.76x = 976.17 × 569.91
  4. Step 4: Simplify right side
    653.76x = 556,329.04
  5. Step 5: Solve for x
    x = 556,329.04/653.76
  6. Step 6: Final answer
    x = 850.97

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