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Finding the Fourth Proportional to 858.84, 1,287.90 and 420.12

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Solution

The fourth proportional to 858.84, 1,287.90 and 420.12 is: 630.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.84 : 1,287.90 = 420.12 : x
  2. Step 2: Convert to fraction form
    858.84/1,287.90 = 420.12/x
  3. Step 3: Cross multiply
    858.84x = 1,287.90 × 420.12
  4. Step 4: Simplify right side
    858.84x = 541,072.55
  5. Step 5: Solve for x
    x = 541,072.55/858.84
  6. Step 6: Final answer
    x = 630.00

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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.