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Finding the Fourth Proportional to 763.82, 1,054.06 and 414.50

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Solution

The fourth proportional to 763.82, 1,054.06 and 414.50 is: 572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.82 : 1,054.06 = 414.50 : x
  2. Step 2: Convert to fraction form
    763.82/1,054.06 = 414.50/x
  3. Step 3: Cross multiply
    763.82x = 1,054.06 × 414.50
  4. Step 4: Simplify right side
    763.82x = 436,907.87
  5. Step 5: Solve for x
    x = 436,907.87/763.82
  6. Step 6: Final answer
    x = 572.00

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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.