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Finding the Fourth Proportional to 1,416.74, 1,955.28 and 827.50

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Solution

The fourth proportional to 1,416.74, 1,955.28 and 827.50 is: 1,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.74 : 1,955.28 = 827.50 : x
  2. Step 2: Convert to fraction form
    1,416.74/1,955.28 = 827.50/x
  3. Step 3: Cross multiply
    1,416.74x = 1,955.28 × 827.50
  4. Step 4: Simplify right side
    1,416.74x = 1,617,994.20
  5. Step 5: Solve for x
    x = 1,617,994.20/1,416.74
  6. Step 6: Final answer
    x = 1,142.05

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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.