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Finding the Fourth Proportional to 673.82, 1,011.33 and 430.55

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Solution

The fourth proportional to 673.82, 1,011.33 and 430.55 is: 646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.82 : 1,011.33 = 430.55 : x
  2. Step 2: Convert to fraction form
    673.82/1,011.33 = 430.55/x
  3. Step 3: Cross multiply
    673.82x = 1,011.33 × 430.55
  4. Step 4: Simplify right side
    673.82x = 435,428.13
  5. Step 5: Solve for x
    x = 435,428.13/673.82
  6. Step 6: Final answer
    x = 646.21

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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.