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Finding the Fourth Proportional to 977.39, 1,465.86 and 483.31

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Solution

The fourth proportional to 977.39, 1,465.86 and 483.31 is: 724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.39 : 1,465.86 = 483.31 : x
  2. Step 2: Convert to fraction form
    977.39/1,465.86 = 483.31/x
  3. Step 3: Cross multiply
    977.39x = 1,465.86 × 483.31
  4. Step 4: Simplify right side
    977.39x = 708,464.80
  5. Step 5: Solve for x
    x = 708,464.80/977.39
  6. Step 6: Final answer
    x = 724.85

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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.