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Finding the Fourth Proportional to 1,025.34, 1,538.02 and 255.84

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Solution

The fourth proportional to 1,025.34, 1,538.02 and 255.84 is: 383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.34 : 1,538.02 = 255.84 : x
  2. Step 2: Convert to fraction form
    1,025.34/1,538.02 = 255.84/x
  3. Step 3: Cross multiply
    1,025.34x = 1,538.02 × 255.84
  4. Step 4: Simplify right side
    1,025.34x = 393,493.12
  5. Step 5: Solve for x
    x = 393,493.12/1,025.34
  6. Step 6: Final answer
    x = 383.77

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Double scale
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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.