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Finding the Fourth Proportional to 1,410.84, 1,946.79 and 789.84

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Solution

The fourth proportional to 1,410.84, 1,946.79 and 789.84 is: 1,089.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.84 : 1,946.79 = 789.84 : x
  2. Step 2: Convert to fraction form
    1,410.84/1,946.79 = 789.84/x
  3. Step 3: Cross multiply
    1,410.84x = 1,946.79 × 789.84
  4. Step 4: Simplify right side
    1,410.84x = 1,537,652.61
  5. Step 5: Solve for x
    x = 1,537,652.61/1,410.84
  6. Step 6: Final answer
    x = 1,089.88

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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.