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Finding the Fourth Proportional to 763.66, 1,053.85 and 414.34

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Solution

The fourth proportional to 763.66, 1,053.85 and 414.34 is: 571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.66 : 1,053.85 = 414.34 : x
  2. Step 2: Convert to fraction form
    763.66/1,053.85 = 414.34/x
  3. Step 3: Cross multiply
    763.66x = 1,053.85 × 414.34
  4. Step 4: Simplify right side
    763.66x = 436,652.21
  5. Step 5: Solve for x
    x = 436,652.21/763.66
  6. Step 6: Final answer
    x = 571.79

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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.