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Finding the Fourth Proportional to 856.58, 1,283.34 and 828.02

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Solution

The fourth proportional to 856.58, 1,283.34 and 828.02 is: 1,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.58 : 1,283.34 = 828.02 : x
  2. Step 2: Convert to fraction form
    856.58/1,283.34 = 828.02/x
  3. Step 3: Cross multiply
    856.58x = 1,283.34 × 828.02
  4. Step 4: Simplify right side
    856.58x = 1,062,637.50
  5. Step 5: Solve for x
    x = 1,062,637.50/856.58
  6. Step 6: Final answer
    x = 1,240.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.