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Finding the Fourth Proportional to 919.48, 1,269.08 and 569.96

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Solution

The fourth proportional to 919.48, 1,269.08 and 569.96 is: 786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.48 : 1,269.08 = 569.96 : x
  2. Step 2: Convert to fraction form
    919.48/1,269.08 = 569.96/x
  3. Step 3: Cross multiply
    919.48x = 1,269.08 × 569.96
  4. Step 4: Simplify right side
    919.48x = 723,324.84
  5. Step 5: Solve for x
    x = 723,324.84/919.48
  6. Step 6: Final answer
    x = 786.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.