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Finding the Fourth Proportional to 914.55, 1,261.74 and 583.12

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Solution

The fourth proportional to 914.55, 1,261.74 and 583.12 is: 804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.55 : 1,261.74 = 583.12 : x
  2. Step 2: Convert to fraction form
    914.55/1,261.74 = 583.12/x
  3. Step 3: Cross multiply
    914.55x = 1,261.74 × 583.12
  4. Step 4: Simplify right side
    914.55x = 735,745.83
  5. Step 5: Solve for x
    x = 735,745.83/914.55
  6. Step 6: Final answer
    x = 804.49

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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.