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Finding the Fourth Proportional to 1,576.63, 2,364.26 and 536.35

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Solution

The fourth proportional to 1,576.63, 2,364.26 and 536.35 is: 804.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.63 : 2,364.26 = 536.35 : x
  2. Step 2: Convert to fraction form
    1,576.63/2,364.26 = 536.35/x
  3. Step 3: Cross multiply
    1,576.63x = 2,364.26 × 536.35
  4. Step 4: Simplify right side
    1,576.63x = 1,268,068.65
  5. Step 5: Solve for x
    x = 1,268,068.65/1,576.63
  6. Step 6: Final answer
    x = 804.29

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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.