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Finding the Fourth Proportional to 838.19, 1,256.60 and 490.67

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Solution

The fourth proportional to 838.19, 1,256.60 and 490.67 is: 735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.19 : 1,256.60 = 490.67 : x
  2. Step 2: Convert to fraction form
    838.19/1,256.60 = 490.67/x
  3. Step 3: Cross multiply
    838.19x = 1,256.60 × 490.67
  4. Step 4: Simplify right side
    838.19x = 616,567.19
  5. Step 5: Solve for x
    x = 616,567.19/838.19
  6. Step 6: Final answer
    x = 735.60

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1.5x scale

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.