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Finding the Fourth Proportional to 1,438.86, 2,157.45 and 647.88

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Solution

The fourth proportional to 1,438.86, 2,157.45 and 647.88 is: 971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.86 : 2,157.45 = 647.88 : x
  2. Step 2: Convert to fraction form
    1,438.86/2,157.45 = 647.88/x
  3. Step 3: Cross multiply
    1,438.86x = 2,157.45 × 647.88
  4. Step 4: Simplify right side
    1,438.86x = 1,397,768.71
  5. Step 5: Solve for x
    x = 1,397,768.71/1,438.86
  6. Step 6: Final answer
    x = 971.44

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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.