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Finding the Fourth Proportional to 837.50, 1,256.28 and 260.36

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Solution

The fourth proportional to 837.50, 1,256.28 and 260.36 is: 390.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.50 : 1,256.28 = 260.36 : x
  2. Step 2: Convert to fraction form
    837.50/1,256.28 = 260.36/x
  3. Step 3: Cross multiply
    837.50x = 1,256.28 × 260.36
  4. Step 4: Simplify right side
    837.50x = 327,085.06
  5. Step 5: Solve for x
    x = 327,085.06/837.50
  6. Step 6: Final answer
    x = 390.55

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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.