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Finding the Fourth Proportional to 734.90, 1,102.06 and 214.72

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Solution

The fourth proportional to 734.90, 1,102.06 and 214.72 is: 322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.90 : 1,102.06 = 214.72 : x
  2. Step 2: Convert to fraction form
    734.90/1,102.06 = 214.72/x
  3. Step 3: Cross multiply
    734.90x = 1,102.06 × 214.72
  4. Step 4: Simplify right side
    734.90x = 236,634.32
  5. Step 5: Solve for x
    x = 236,634.32/734.90
  6. Step 6: Final answer
    x = 322.00

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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.