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Finding the Fourth Proportional to 1,523.64, 2,284.98 and 657.78

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Solution

The fourth proportional to 1,523.64, 2,284.98 and 657.78 is: 986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.64 : 2,284.98 = 657.78 : x
  2. Step 2: Convert to fraction form
    1,523.64/2,284.98 = 657.78/x
  3. Step 3: Cross multiply
    1,523.64x = 2,284.98 × 657.78
  4. Step 4: Simplify right side
    1,523.64x = 1,503,014.14
  5. Step 5: Solve for x
    x = 1,503,014.14/1,523.64
  6. Step 6: Final answer
    x = 986.46

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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.