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Finding the Fourth Proportional to 1,417.74, 1,955.85 and 828.02

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Solution

The fourth proportional to 1,417.74, 1,955.85 and 828.02 is: 1,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.74 : 1,955.85 = 828.02 : x
  2. Step 2: Convert to fraction form
    1,417.74/1,955.85 = 828.02/x
  3. Step 3: Cross multiply
    1,417.74x = 1,955.85 × 828.02
  4. Step 4: Simplify right side
    1,417.74x = 1,619,471.07
  5. Step 5: Solve for x
    x = 1,619,471.07/1,417.74
  6. Step 6: Final answer
    x = 1,142.29

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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.