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Finding the Fourth Proportional to 673.65, 1,006.56 and 487.67

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Solution

The fourth proportional to 673.65, 1,006.56 and 487.67 is: 728.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.65 : 1,006.56 = 487.67 : x
  2. Step 2: Convert to fraction form
    673.65/1,006.56 = 487.67/x
  3. Step 3: Cross multiply
    673.65x = 1,006.56 × 487.67
  4. Step 4: Simplify right side
    673.65x = 490,866.68
  5. Step 5: Solve for x
    x = 490,866.68/673.65
  6. Step 6: Final answer
    x = 728.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.