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Finding the Fourth Proportional to 673.99, 1,011.13 and 187.08

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Solution

The fourth proportional to 673.99, 1,011.13 and 187.08 is: 280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.99 : 1,011.13 = 187.08 : x
  2. Step 2: Convert to fraction form
    673.99/1,011.13 = 187.08/x
  3. Step 3: Cross multiply
    673.99x = 1,011.13 × 187.08
  4. Step 4: Simplify right side
    673.99x = 189,162.20
  5. Step 5: Solve for x
    x = 189,162.20/673.99
  6. Step 6: Final answer
    x = 280.66

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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.