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Finding the Fourth Proportional to 673.04, 1,009.73 and 210.89

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Solution

The fourth proportional to 673.04, 1,009.73 and 210.89 is: 316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.04 : 1,009.73 = 210.89 : x
  2. Step 2: Convert to fraction form
    673.04/1,009.73 = 210.89/x
  3. Step 3: Cross multiply
    673.04x = 1,009.73 × 210.89
  4. Step 4: Simplify right side
    673.04x = 212,935.86
  5. Step 5: Solve for x
    x = 212,935.86/673.04
  6. Step 6: Final answer
    x = 316.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.