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Finding the Fourth Proportional to 1,418.07, 1,957.17 and 828.49

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Solution

The fourth proportional to 1,418.07, 1,957.17 and 828.49 is: 1,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.07 : 1,957.17 = 828.49 : x
  2. Step 2: Convert to fraction form
    1,418.07/1,957.17 = 828.49/x
  3. Step 3: Cross multiply
    1,418.07x = 1,957.17 × 828.49
  4. Step 4: Simplify right side
    1,418.07x = 1,621,486.74
  5. Step 5: Solve for x
    x = 1,621,486.74/1,418.07
  6. Step 6: Final answer
    x = 1,143.45

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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.