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Finding the Fourth Proportional to 714.94, 1,071.68 and 303.87

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Solution

The fourth proportional to 714.94, 1,071.68 and 303.87 is: 455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.94 : 1,071.68 = 303.87 : x
  2. Step 2: Convert to fraction form
    714.94/1,071.68 = 303.87/x
  3. Step 3: Cross multiply
    714.94x = 1,071.68 × 303.87
  4. Step 4: Simplify right side
    714.94x = 325,649.58
  5. Step 5: Solve for x
    x = 325,649.58/714.94
  6. Step 6: Final answer
    x = 455.49

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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.