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Finding the Fourth Proportional to 946.76, 1,420.12 and 262.76

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Solution

The fourth proportional to 946.76, 1,420.12 and 262.76 is: 394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.76 : 1,420.12 = 262.76 : x
  2. Step 2: Convert to fraction form
    946.76/1,420.12 = 262.76/x
  3. Step 3: Cross multiply
    946.76x = 1,420.12 × 262.76
  4. Step 4: Simplify right side
    946.76x = 373,150.73
  5. Step 5: Solve for x
    x = 373,150.73/946.76
  6. Step 6: Final answer
    x = 394.13

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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.