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Finding the Fourth Proportional to 714.33, 1,071.63 and 471.06

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Solution

The fourth proportional to 714.33, 1,071.63 and 471.06 is: 706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.33 : 1,071.63 = 471.06 : x
  2. Step 2: Convert to fraction form
    714.33/1,071.63 = 471.06/x
  3. Step 3: Cross multiply
    714.33x = 1,071.63 × 471.06
  4. Step 4: Simplify right side
    714.33x = 504,802.03
  5. Step 5: Solve for x
    x = 504,802.03/714.33
  6. Step 6: Final answer
    x = 706.68

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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.