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Finding the Fourth Proportional to 714.09, 1,071.15 and 422.04

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Solution

The fourth proportional to 714.09, 1,071.15 and 422.04 is: 633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.09 : 1,071.15 = 422.04 : x
  2. Step 2: Convert to fraction form
    714.09/1,071.15 = 422.04/x
  3. Step 3: Cross multiply
    714.09x = 1,071.15 × 422.04
  4. Step 4: Simplify right side
    714.09x = 452,068.15
  5. Step 5: Solve for x
    x = 452,068.15/714.09
  6. Step 6: Final answer
    x = 633.07

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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.