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Finding the Fourth Proportional to 1,524.41, 2,287.07 and 646.45

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Solution

The fourth proportional to 1,524.41, 2,287.07 and 646.45 is: 969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.41 : 2,287.07 = 646.45 : x
  2. Step 2: Convert to fraction form
    1,524.41/2,287.07 = 646.45/x
  3. Step 3: Cross multiply
    1,524.41x = 2,287.07 × 646.45
  4. Step 4: Simplify right side
    1,524.41x = 1,478,472.30
  5. Step 5: Solve for x
    x = 1,478,472.30/1,524.41
  6. Step 6: Final answer
    x = 969.87

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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.