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Finding the Fourth Proportional to 763.85, 1,053.24 and 483.75

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Solution

The fourth proportional to 763.85, 1,053.24 and 483.75 is: 667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.85 : 1,053.24 = 483.75 : x
  2. Step 2: Convert to fraction form
    763.85/1,053.24 = 483.75/x
  3. Step 3: Cross multiply
    763.85x = 1,053.24 × 483.75
  4. Step 4: Simplify right side
    763.85x = 509,504.85
  5. Step 5: Solve for x
    x = 509,504.85/763.85
  6. Step 6: Final answer
    x = 667.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.