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Finding the Fourth Proportional to 1,312.41, 1,965.57 and 941.25

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Solution

The fourth proportional to 1,312.41, 1,965.57 and 941.25 is: 1,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.41 : 1,965.57 = 941.25 : x
  2. Step 2: Convert to fraction form
    1,312.41/1,965.57 = 941.25/x
  3. Step 3: Cross multiply
    1,312.41x = 1,965.57 × 941.25
  4. Step 4: Simplify right side
    1,312.41x = 1,850,092.76
  5. Step 5: Solve for x
    x = 1,850,092.76/1,312.41
  6. Step 6: Final answer
    x = 1,409.69

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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.