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Finding the Fourth Proportional to 899.94, 1,349.91 and 283.70

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Solution

The fourth proportional to 899.94, 1,349.91 and 283.70 is: 425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.94 : 1,349.91 = 283.70 : x
  2. Step 2: Convert to fraction form
    899.94/1,349.91 = 283.70/x
  3. Step 3: Cross multiply
    899.94x = 1,349.91 × 283.70
  4. Step 4: Simplify right side
    899.94x = 382,969.47
  5. Step 5: Solve for x
    x = 382,969.47/899.94
  6. Step 6: Final answer
    x = 425.55

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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.