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Finding the Fourth Proportional to 1,052.98, 1,579.82 and 467.90

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Solution

The fourth proportional to 1,052.98, 1,579.82 and 467.90 is: 702.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.98 : 1,579.82 = 467.90 : x
  2. Step 2: Convert to fraction form
    1,052.98/1,579.82 = 467.90/x
  3. Step 3: Cross multiply
    1,052.98x = 1,579.82 × 467.90
  4. Step 4: Simplify right side
    1,052.98x = 739,197.78
  5. Step 5: Solve for x
    x = 739,197.78/1,052.98
  6. Step 6: Final answer
    x = 702.01

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