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Finding the Fourth Proportional to 1,985.28, 2,978.09 and 524.44

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Solution

The fourth proportional to 1,985.28, 2,978.09 and 524.44 is: 786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.28 : 2,978.09 = 524.44 : x
  2. Step 2: Convert to fraction form
    1,985.28/2,978.09 = 524.44/x
  3. Step 3: Cross multiply
    1,985.28x = 2,978.09 × 524.44
  4. Step 4: Simplify right side
    1,985.28x = 1,561,829.52
  5. Step 5: Solve for x
    x = 1,561,829.52/1,985.28
  6. Step 6: Final answer
    x = 786.70

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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.