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Finding the Fourth Proportional to 1,262.63, 1,893.93 and 325.57

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Solution

The fourth proportional to 1,262.63, 1,893.93 and 325.57 is: 488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.63 : 1,893.93 = 325.57 : x
  2. Step 2: Convert to fraction form
    1,262.63/1,893.93 = 325.57/x
  3. Step 3: Cross multiply
    1,262.63x = 1,893.93 × 325.57
  4. Step 4: Simplify right side
    1,262.63x = 616,606.79
  5. Step 5: Solve for x
    x = 616,606.79/1,262.63
  6. Step 6: Final answer
    x = 488.35

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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.