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Finding the Fourth Proportional to 702.45, 1,052.60 and 376.83

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Solution

The fourth proportional to 702.45, 1,052.60 and 376.83 is: 564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.45 : 1,052.60 = 376.83 : x
  2. Step 2: Convert to fraction form
    702.45/1,052.60 = 376.83/x
  3. Step 3: Cross multiply
    702.45x = 1,052.60 × 376.83
  4. Step 4: Simplify right side
    702.45x = 396,649.37
  5. Step 5: Solve for x
    x = 396,649.37/702.45
  6. Step 6: Final answer
    x = 564.67

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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.