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Finding the Fourth Proportional to 977.50, 1,466.52 and 685

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Solution

The fourth proportional to 977.50, 1,466.52 and 685 is: 1,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.50 : 1,466.52 = 685 : x
  2. Step 2: Convert to fraction form
    977.50/1,466.52 = 685/x
  3. Step 3: Cross multiply
    977.50x = 1,466.52 × 685
  4. Step 4: Simplify right side
    977.50x = 1,004,566.20
  5. Step 5: Solve for x
    x = 1,004,566.20/977.50
  6. Step 6: Final answer
    x = 1,027.69

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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.