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Finding the Fourth Proportional to 914.24, 1,261.20 and 582.52

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Solution

The fourth proportional to 914.24, 1,261.20 and 582.52 is: 803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.24 : 1,261.20 = 582.52 : x
  2. Step 2: Convert to fraction form
    914.24/1,261.20 = 582.52/x
  3. Step 3: Cross multiply
    914.24x = 1,261.20 × 582.52
  4. Step 4: Simplify right side
    914.24x = 734,674.22
  5. Step 5: Solve for x
    x = 734,674.22/914.24
  6. Step 6: Final answer
    x = 803.59

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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.