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Finding the Fourth Proportional to 1,412.75, 1,949.68 and 783.35

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Solution

The fourth proportional to 1,412.75, 1,949.68 and 783.35 is: 1,081.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.75 : 1,949.68 = 783.35 : x
  2. Step 2: Convert to fraction form
    1,412.75/1,949.68 = 783.35/x
  3. Step 3: Cross multiply
    1,412.75x = 1,949.68 × 783.35
  4. Step 4: Simplify right side
    1,412.75x = 1,527,286.93
  5. Step 5: Solve for x
    x = 1,527,286.93/1,412.75
  6. Step 6: Final answer
    x = 1,081.07

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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.