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Finding the Fourth Proportional to 1,438.34, 2,157.30 and 513.77

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Solution

The fourth proportional to 1,438.34, 2,157.30 and 513.77 is: 770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.34 : 2,157.30 = 513.77 : x
  2. Step 2: Convert to fraction form
    1,438.34/2,157.30 = 513.77/x
  3. Step 3: Cross multiply
    1,438.34x = 2,157.30 × 513.77
  4. Step 4: Simplify right side
    1,438.34x = 1,108,345.23
  5. Step 5: Solve for x
    x = 1,108,345.23/1,438.34
  6. Step 6: Final answer
    x = 770.58

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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.