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Finding the Fourth Proportional to 734.79, 1,014.05 and 415.84

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Solution

The fourth proportional to 734.79, 1,014.05 and 415.84 is: 573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.79 : 1,014.05 = 415.84 : x
  2. Step 2: Convert to fraction form
    734.79/1,014.05 = 415.84/x
  3. Step 3: Cross multiply
    734.79x = 1,014.05 × 415.84
  4. Step 4: Simplify right side
    734.79x = 421,681.06
  5. Step 5: Solve for x
    x = 421,681.06/734.79
  6. Step 6: Final answer
    x = 573.88

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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.