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Finding the Fourth Proportional to 1,016.59, 1,525.01 and 323.07

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Solution

The fourth proportional to 1,016.59, 1,525.01 and 323.07 is: 484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.59 : 1,525.01 = 323.07 : x
  2. Step 2: Convert to fraction form
    1,016.59/1,525.01 = 323.07/x
  3. Step 3: Cross multiply
    1,016.59x = 1,525.01 × 323.07
  4. Step 4: Simplify right side
    1,016.59x = 492,683.37
  5. Step 5: Solve for x
    x = 492,683.37/1,016.59
  6. Step 6: Final answer
    x = 484.64

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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.