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Finding the Fourth Proportional to 783.34, 1,081.01 and 488.61

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Solution

The fourth proportional to 783.34, 1,081.01 and 488.61 is: 674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.34 : 1,081.01 = 488.61 : x
  2. Step 2: Convert to fraction form
    783.34/1,081.01 = 488.61/x
  3. Step 3: Cross multiply
    783.34x = 1,081.01 × 488.61
  4. Step 4: Simplify right side
    783.34x = 528,193.52
  5. Step 5: Solve for x
    x = 528,193.52/783.34
  6. Step 6: Final answer
    x = 674.29

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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.