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Finding the Fourth Proportional to 1,050.67, 1,576.14 and 977.77

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Solution

The fourth proportional to 1,050.67, 1,576.14 and 977.77 is: 1,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.67 : 1,576.14 = 977.77 : x
  2. Step 2: Convert to fraction form
    1,050.67/1,576.14 = 977.77/x
  3. Step 3: Cross multiply
    1,050.67x = 1,576.14 × 977.77
  4. Step 4: Simplify right side
    1,050.67x = 1,541,102.41
  5. Step 5: Solve for x
    x = 1,541,102.41/1,050.67
  6. Step 6: Final answer
    x = 1,466.78

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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.