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Finding the Fourth Proportional to 914.63, 1,262.34 and 583.21

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Solution

The fourth proportional to 914.63, 1,262.34 and 583.21 is: 804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.63 : 1,262.34 = 583.21 : x
  2. Step 2: Convert to fraction form
    914.63/1,262.34 = 583.21/x
  3. Step 3: Cross multiply
    914.63x = 1,262.34 × 583.21
  4. Step 4: Simplify right side
    914.63x = 736,209.31
  5. Step 5: Solve for x
    x = 736,209.31/914.63
  6. Step 6: Final answer
    x = 804.93

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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.