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Finding the Fourth Proportional to 714.17, 1,071.44 and 636.61

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Solution

The fourth proportional to 714.17, 1,071.44 and 636.61 is: 955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.17 : 1,071.44 = 636.61 : x
  2. Step 2: Convert to fraction form
    714.17/1,071.44 = 636.61/x
  3. Step 3: Cross multiply
    714.17x = 1,071.44 × 636.61
  4. Step 4: Simplify right side
    714.17x = 682,089.42
  5. Step 5: Solve for x
    x = 682,089.42/714.17
  6. Step 6: Final answer
    x = 955.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.