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Finding the Fourth Proportional to 955.60, 1,318.24 and 582.40

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Solution

The fourth proportional to 955.60, 1,318.24 and 582.40 is: 803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.60 : 1,318.24 = 582.40 : x
  2. Step 2: Convert to fraction form
    955.60/1,318.24 = 582.40/x
  3. Step 3: Cross multiply
    955.60x = 1,318.24 × 582.40
  4. Step 4: Simplify right side
    955.60x = 767,742.98
  5. Step 5: Solve for x
    x = 767,742.98/955.60
  6. Step 6: Final answer
    x = 803.41

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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.