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Finding the Fourth Proportional to 982.94, 1,466.10 and 925.83

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Solution

The fourth proportional to 982.94, 1,466.10 and 925.83 is: 1,380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.94 : 1,466.10 = 925.83 : x
  2. Step 2: Convert to fraction form
    982.94/1,466.10 = 925.83/x
  3. Step 3: Cross multiply
    982.94x = 1,466.10 × 925.83
  4. Step 4: Simplify right side
    982.94x = 1,357,359.36
  5. Step 5: Solve for x
    x = 1,357,359.36/982.94
  6. Step 6: Final answer
    x = 1,380.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.