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Finding the Fourth Proportional to 1,524.68, 2,285.29 and 646.64

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Solution

The fourth proportional to 1,524.68, 2,285.29 and 646.64 is: 969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.68 : 2,285.29 = 646.64 : x
  2. Step 2: Convert to fraction form
    1,524.68/2,285.29 = 646.64/x
  3. Step 3: Cross multiply
    1,524.68x = 2,285.29 × 646.64
  4. Step 4: Simplify right side
    1,524.68x = 1,477,759.93
  5. Step 5: Solve for x
    x = 1,477,759.93/1,524.68
  6. Step 6: Final answer
    x = 969.23

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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.