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Finding the Fourth Proportional to 1,410.99, 1,946.93 and 886.65

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Solution

The fourth proportional to 1,410.99, 1,946.93 and 886.65 is: 1,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.99 : 1,946.93 = 886.65 : x
  2. Step 2: Convert to fraction form
    1,410.99/1,946.93 = 886.65/x
  3. Step 3: Cross multiply
    1,410.99x = 1,946.93 × 886.65
  4. Step 4: Simplify right side
    1,410.99x = 1,726,245.48
  5. Step 5: Solve for x
    x = 1,726,245.48/1,410.99
  6. Step 6: Final answer
    x = 1,223.43

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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.