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Finding the Fourth Proportional to 813.12, 1,122.10 and 440.10

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Solution

The fourth proportional to 813.12, 1,122.10 and 440.10 is: 607.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.12 : 1,122.10 = 440.10 : x
  2. Step 2: Convert to fraction form
    813.12/1,122.10 = 440.10/x
  3. Step 3: Cross multiply
    813.12x = 1,122.10 × 440.10
  4. Step 4: Simplify right side
    813.12x = 493,836.21
  5. Step 5: Solve for x
    x = 493,836.21/813.12
  6. Step 6: Final answer
    x = 607.33

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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.