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Finding the Fourth Proportional to 1,284.05, 1,926.88 and 462.30

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Solution

The fourth proportional to 1,284.05, 1,926.88 and 462.30 is: 693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.05 : 1,926.88 = 462.30 : x
  2. Step 2: Convert to fraction form
    1,284.05/1,926.88 = 462.30/x
  3. Step 3: Cross multiply
    1,284.05x = 1,926.88 × 462.30
  4. Step 4: Simplify right side
    1,284.05x = 890,795.47
  5. Step 5: Solve for x
    x = 890,795.47/1,284.05
  6. Step 6: Final answer
    x = 693.74

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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.