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Finding the Fourth Proportional to 703.66, 1,052.76 and 379.26

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Solution

The fourth proportional to 703.66, 1,052.76 and 379.26 is: 567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.66 : 1,052.76 = 379.26 : x
  2. Step 2: Convert to fraction form
    703.66/1,052.76 = 379.26/x
  3. Step 3: Cross multiply
    703.66x = 1,052.76 × 379.26
  4. Step 4: Simplify right side
    703.66x = 399,269.76
  5. Step 5: Solve for x
    x = 399,269.76/703.66
  6. Step 6: Final answer
    x = 567.42

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Why These Related Problems?

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