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Finding the Fourth Proportional to 714.71, 1,072.58 and 303.96

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Solution

The fourth proportional to 714.71, 1,072.58 and 303.96 is: 456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.71 : 1,072.58 = 303.96 : x
  2. Step 2: Convert to fraction form
    714.71/1,072.58 = 303.96/x
  3. Step 3: Cross multiply
    714.71x = 1,072.58 × 303.96
  4. Step 4: Simplify right side
    714.71x = 326,021.42
  5. Step 5: Solve for x
    x = 326,021.42/714.71
  6. Step 6: Final answer
    x = 456.16

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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.