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Finding the Fourth Proportional to 673.64, 1,011.03 and 528.30

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Solution

The fourth proportional to 673.64, 1,011.03 and 528.30 is: 792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.64 : 1,011.03 = 528.30 : x
  2. Step 2: Convert to fraction form
    673.64/1,011.03 = 528.30/x
  3. Step 3: Cross multiply
    673.64x = 1,011.03 × 528.30
  4. Step 4: Simplify right side
    673.64x = 534,125.30
  5. Step 5: Solve for x
    x = 534,125.30/673.64
  6. Step 6: Final answer
    x = 792.89

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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.