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Finding the Fourth Proportional to 1,322.96, 1,984.40 and 398.53

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Solution

The fourth proportional to 1,322.96, 1,984.40 and 398.53 is: 597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.96 : 1,984.40 = 398.53 : x
  2. Step 2: Convert to fraction form
    1,322.96/1,984.40 = 398.53/x
  3. Step 3: Cross multiply
    1,322.96x = 1,984.40 × 398.53
  4. Step 4: Simplify right side
    1,322.96x = 790,831.02
  5. Step 5: Solve for x
    x = 790,831.02/1,322.96
  6. Step 6: Final answer
    x = 597.77

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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.