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Finding the Fourth Proportional to 914.13, 1,261.65 and 582.71

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Solution

The fourth proportional to 914.13, 1,261.65 and 582.71 is: 804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.13 : 1,261.65 = 582.71 : x
  2. Step 2: Convert to fraction form
    914.13/1,261.65 = 582.71/x
  3. Step 3: Cross multiply
    914.13x = 1,261.65 × 582.71
  4. Step 4: Simplify right side
    914.13x = 735,169.76
  5. Step 5: Solve for x
    x = 735,169.76/914.13
  6. Step 6: Final answer
    x = 804.23

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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.