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Finding the Fourth Proportional to 1,295.12, 1,942.88 and 473.99

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Solution

The fourth proportional to 1,295.12, 1,942.88 and 473.99 is: 711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.12 : 1,942.88 = 473.99 : x
  2. Step 2: Convert to fraction form
    1,295.12/1,942.88 = 473.99/x
  3. Step 3: Cross multiply
    1,295.12x = 1,942.88 × 473.99
  4. Step 4: Simplify right side
    1,295.12x = 920,893.61
  5. Step 5: Solve for x
    x = 920,893.61/1,295.12
  6. Step 6: Final answer
    x = 711.05

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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.