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Finding the Fourth Proportional to 977.42, 1,465.91 and 284.09

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Solution

The fourth proportional to 977.42, 1,465.91 and 284.09 is: 426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.42 : 1,465.91 = 284.09 : x
  2. Step 2: Convert to fraction form
    977.42/1,465.91 = 284.09/x
  3. Step 3: Cross multiply
    977.42x = 1,465.91 × 284.09
  4. Step 4: Simplify right side
    977.42x = 416,450.37
  5. Step 5: Solve for x
    x = 416,450.37/977.42
  6. Step 6: Final answer
    x = 426.07

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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.