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Finding the Fourth Proportional to 670.37, 1,006.62 and 285.89

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Solution

The fourth proportional to 670.37, 1,006.62 and 285.89 is: 429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.37 : 1,006.62 = 285.89 : x
  2. Step 2: Convert to fraction form
    670.37/1,006.62 = 285.89/x
  3. Step 3: Cross multiply
    670.37x = 1,006.62 × 285.89
  4. Step 4: Simplify right side
    670.37x = 287,782.59
  5. Step 5: Solve for x
    x = 287,782.59/670.37
  6. Step 6: Final answer
    x = 429.29

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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.