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Finding the Fourth Proportional to 977.06, 1,465.80 and 399.94

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Solution

The fourth proportional to 977.06, 1,465.80 and 399.94 is: 599.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.06 : 1,465.80 = 399.94 : x
  2. Step 2: Convert to fraction form
    977.06/1,465.80 = 399.94/x
  3. Step 3: Cross multiply
    977.06x = 1,465.80 × 399.94
  4. Step 4: Simplify right side
    977.06x = 586,226.89
  5. Step 5: Solve for x
    x = 586,226.89/977.06
  6. Step 6: Final answer
    x = 599.99

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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.