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Finding the Fourth Proportional to 1,182.94, 1,630.86 and 828.38

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Solution

The fourth proportional to 1,182.94, 1,630.86 and 828.38 is: 1,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.94 : 1,630.86 = 828.38 : x
  2. Step 2: Convert to fraction form
    1,182.94/1,630.86 = 828.38/x
  3. Step 3: Cross multiply
    1,182.94x = 1,630.86 × 828.38
  4. Step 4: Simplify right side
    1,182.94x = 1,350,971.81
  5. Step 5: Solve for x
    x = 1,350,971.81/1,182.94
  6. Step 6: Final answer
    x = 1,142.05

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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.