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Finding the Fourth Proportional to 1,394.81, 1,924.10 and 946.70

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Solution

The fourth proportional to 1,394.81, 1,924.10 and 946.70 is: 1,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.81 : 1,924.10 = 946.70 : x
  2. Step 2: Convert to fraction form
    1,394.81/1,924.10 = 946.70/x
  3. Step 3: Cross multiply
    1,394.81x = 1,924.10 × 946.70
  4. Step 4: Simplify right side
    1,394.81x = 1,821,531.12
  5. Step 5: Solve for x
    x = 1,821,531.12/1,394.81
  6. Step 6: Final answer
    x = 1,305.94

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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.