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Finding the Fourth Proportional to 946.06, 1,416.92 and 901.42

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Solution

The fourth proportional to 946.06, 1,416.92 and 901.42 is: 1,350.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.06 : 1,416.92 = 901.42 : x
  2. Step 2: Convert to fraction form
    946.06/1,416.92 = 901.42/x
  3. Step 3: Cross multiply
    946.06x = 1,416.92 × 901.42
  4. Step 4: Simplify right side
    946.06x = 1,277,240.03
  5. Step 5: Solve for x
    x = 1,277,240.03/946.06
  6. Step 6: Final answer
    x = 1,350.06

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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.