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Finding the Fourth Proportional to 1,410.54, 1,946.39 and 780.91

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Solution

The fourth proportional to 1,410.54, 1,946.39 and 780.91 is: 1,077.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.54 : 1,946.39 = 780.91 : x
  2. Step 2: Convert to fraction form
    1,410.54/1,946.39 = 780.91/x
  3. Step 3: Cross multiply
    1,410.54x = 1,946.39 × 780.91
  4. Step 4: Simplify right side
    1,410.54x = 1,519,955.41
  5. Step 5: Solve for x
    x = 1,519,955.41/1,410.54
  6. Step 6: Final answer
    x = 1,077.57

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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.