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Finding the Fourth Proportional to 1,325.42, 1,829.74 and 828.34

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Solution

The fourth proportional to 1,325.42, 1,829.74 and 828.34 is: 1,143.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.42 : 1,829.74 = 828.34 : x
  2. Step 2: Convert to fraction form
    1,325.42/1,829.74 = 828.34/x
  3. Step 3: Cross multiply
    1,325.42x = 1,829.74 × 828.34
  4. Step 4: Simplify right side
    1,325.42x = 1,515,637.68
  5. Step 5: Solve for x
    x = 1,515,637.68/1,325.42
  6. Step 6: Final answer
    x = 1,143.52

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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.