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Finding the Fourth Proportional to 1,537.82, 2,307.18 and 659.86

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Solution

The fourth proportional to 1,537.82, 2,307.18 and 659.86 is: 989.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.82 : 2,307.18 = 659.86 : x
  2. Step 2: Convert to fraction form
    1,537.82/2,307.18 = 659.86/x
  3. Step 3: Cross multiply
    1,537.82x = 2,307.18 × 659.86
  4. Step 4: Simplify right side
    1,537.82x = 1,522,415.79
  5. Step 5: Solve for x
    x = 1,522,415.79/1,537.82
  6. Step 6: Final answer
    x = 989.98

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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.