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Finding the Fourth Proportional to 670.98, 1,006.89 and 462.93

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Solution

The fourth proportional to 670.98, 1,006.89 and 462.93 is: 694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.98 : 1,006.89 = 462.93 : x
  2. Step 2: Convert to fraction form
    670.98/1,006.89 = 462.93/x
  3. Step 3: Cross multiply
    670.98x = 1,006.89 × 462.93
  4. Step 4: Simplify right side
    670.98x = 466,119.59
  5. Step 5: Solve for x
    x = 466,119.59/670.98
  6. Step 6: Final answer
    x = 694.68

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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.