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Finding the Fourth Proportional to 702.50, 1,052.84 and 311.94

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Solution

The fourth proportional to 702.50, 1,052.84 and 311.94 is: 467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.50 : 1,052.84 = 311.94 : x
  2. Step 2: Convert to fraction form
    702.50/1,052.84 = 311.94/x
  3. Step 3: Cross multiply
    702.50x = 1,052.84 × 311.94
  4. Step 4: Simplify right side
    702.50x = 328,421.35
  5. Step 5: Solve for x
    x = 328,421.35/702.50
  6. Step 6: Final answer
    x = 467.51

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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.