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Finding the Fourth Proportional to 673.85, 1,011.05 and 283.92

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Solution

The fourth proportional to 673.85, 1,011.05 and 283.92 is: 426.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.85 : 1,011.05 = 283.92 : x
  2. Step 2: Convert to fraction form
    673.85/1,011.05 = 283.92/x
  3. Step 3: Cross multiply
    673.85x = 1,011.05 × 283.92
  4. Step 4: Simplify right side
    673.85x = 287,055.90
  5. Step 5: Solve for x
    x = 287,055.90/673.85
  6. Step 6: Final answer
    x = 426.00

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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.