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Finding the Fourth Proportional to 1,071.95, 1,608.20 and 302.45

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Solution

The fourth proportional to 1,071.95, 1,608.20 and 302.45 is: 453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.95 : 1,608.20 = 302.45 : x
  2. Step 2: Convert to fraction form
    1,071.95/1,608.20 = 302.45/x
  3. Step 3: Cross multiply
    1,071.95x = 1,608.20 × 302.45
  4. Step 4: Simplify right side
    1,071.95x = 486,390.54
  5. Step 5: Solve for x
    x = 486,390.54/1,071.95
  6. Step 6: Final answer
    x = 453.75

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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.