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Finding the Fourth Proportional to 783.28, 1,081.26 and 488.74

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Solution

The fourth proportional to 783.28, 1,081.26 and 488.74 is: 674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.28 : 1,081.26 = 488.74 : x
  2. Step 2: Convert to fraction form
    783.28/1,081.26 = 488.74/x
  3. Step 3: Cross multiply
    783.28x = 1,081.26 × 488.74
  4. Step 4: Simplify right side
    783.28x = 528,455.01
  5. Step 5: Solve for x
    x = 528,455.01/783.28
  6. Step 6: Final answer
    x = 674.67

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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.