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Finding the Fourth Proportional to 977.99, 1,465.13 and 920.79

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Solution

The fourth proportional to 977.99, 1,465.13 and 920.79 is: 1,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.99 : 1,465.13 = 920.79 : x
  2. Step 2: Convert to fraction form
    977.99/1,465.13 = 920.79/x
  3. Step 3: Cross multiply
    977.99x = 1,465.13 × 920.79
  4. Step 4: Simplify right side
    977.99x = 1,349,072.45
  5. Step 5: Solve for x
    x = 1,349,072.45/977.99
  6. Step 6: Final answer
    x = 1,379.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.