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Finding the Fourth Proportional to 977.12, 1,465.56 and 246.63

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Solution

The fourth proportional to 977.12, 1,465.56 and 246.63 is: 369.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.12 : 1,465.56 = 246.63 : x
  2. Step 2: Convert to fraction form
    977.12/1,465.56 = 246.63/x
  3. Step 3: Cross multiply
    977.12x = 1,465.56 × 246.63
  4. Step 4: Simplify right side
    977.12x = 361,451.06
  5. Step 5: Solve for x
    x = 361,451.06/977.12
  6. Step 6: Final answer
    x = 369.91

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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.