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Finding the Fourth Proportional to 837.57, 1,156.14 and 488.25

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Solution

The fourth proportional to 837.57, 1,156.14 and 488.25 is: 673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.57 : 1,156.14 = 488.25 : x
  2. Step 2: Convert to fraction form
    837.57/1,156.14 = 488.25/x
  3. Step 3: Cross multiply
    837.57x = 1,156.14 × 488.25
  4. Step 4: Simplify right side
    837.57x = 564,485.36
  5. Step 5: Solve for x
    x = 564,485.36/837.57
  6. Step 6: Final answer
    x = 673.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.