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Finding the Fourth Proportional to 849.98, 1,275.12 and 302.06

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Solution

The fourth proportional to 849.98, 1,275.12 and 302.06 is: 453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.98 : 1,275.12 = 302.06 : x
  2. Step 2: Convert to fraction form
    849.98/1,275.12 = 302.06/x
  3. Step 3: Cross multiply
    849.98x = 1,275.12 × 302.06
  4. Step 4: Simplify right side
    849.98x = 385,162.75
  5. Step 5: Solve for x
    x = 385,162.75/849.98
  6. Step 6: Final answer
    x = 453.14

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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.