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Finding the Fourth Proportional to 1,410.40, 1,946.33 and 789.40

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Solution

The fourth proportional to 1,410.40, 1,946.33 and 789.40 is: 1,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.40 : 1,946.33 = 789.40 : x
  2. Step 2: Convert to fraction form
    1,410.40/1,946.33 = 789.40/x
  3. Step 3: Cross multiply
    1,410.40x = 1,946.33 × 789.40
  4. Step 4: Simplify right side
    1,410.40x = 1,536,432.90
  5. Step 5: Solve for x
    x = 1,536,432.90/1,410.40
  6. Step 6: Final answer
    x = 1,089.36

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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.