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Finding the Fourth Proportional to 1,406.18, 1,940.51 and 785.18

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Solution

The fourth proportional to 1,406.18, 1,940.51 and 785.18 is: 1,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.18 : 1,940.51 = 785.18 : x
  2. Step 2: Convert to fraction form
    1,406.18/1,940.51 = 785.18/x
  3. Step 3: Cross multiply
    1,406.18x = 1,940.51 × 785.18
  4. Step 4: Simplify right side
    1,406.18x = 1,523,649.64
  5. Step 5: Solve for x
    x = 1,523,649.64/1,406.18
  6. Step 6: Final answer
    x = 1,083.54

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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.