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Finding the Fourth Proportional to 1,438.35, 1,985.72 and 966.93

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Solution

The fourth proportional to 1,438.35, 1,985.72 and 966.93 is: 1,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.35 : 1,985.72 = 966.93 : x
  2. Step 2: Convert to fraction form
    1,438.35/1,985.72 = 966.93/x
  3. Step 3: Cross multiply
    1,438.35x = 1,985.72 × 966.93
  4. Step 4: Simplify right side
    1,438.35x = 1,920,052.24
  5. Step 5: Solve for x
    x = 1,920,052.24/1,438.35
  6. Step 6: Final answer
    x = 1,334.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.