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Finding the Fourth Proportional to 673.77, 1,009.98 and 289.29

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Solution

The fourth proportional to 673.77, 1,009.98 and 289.29 is: 433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.77 : 1,009.98 = 289.29 : x
  2. Step 2: Convert to fraction form
    673.77/1,009.98 = 289.29/x
  3. Step 3: Cross multiply
    673.77x = 1,009.98 × 289.29
  4. Step 4: Simplify right side
    673.77x = 292,177.11
  5. Step 5: Solve for x
    x = 292,177.11/673.77
  6. Step 6: Final answer
    x = 433.65

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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.