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Finding the Fourth Proportional to 976.95, 1,465.05 and 283.42

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Solution

The fourth proportional to 976.95, 1,465.05 and 283.42 is: 425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.95 : 1,465.05 = 283.42 : x
  2. Step 2: Convert to fraction form
    976.95/1,465.05 = 283.42/x
  3. Step 3: Cross multiply
    976.95x = 1,465.05 × 283.42
  4. Step 4: Simplify right side
    976.95x = 415,224.47
  5. Step 5: Solve for x
    x = 415,224.47/976.95
  6. Step 6: Final answer
    x = 425.02

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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.