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Finding the Fourth Proportional to 914.66, 1,262.85 and 583.64

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Solution

The fourth proportional to 914.66, 1,262.85 and 583.64 is: 805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.66 : 1,262.85 = 583.64 : x
  2. Step 2: Convert to fraction form
    914.66/1,262.85 = 583.64/x
  3. Step 3: Cross multiply
    914.66x = 1,262.85 × 583.64
  4. Step 4: Simplify right side
    914.66x = 737,049.77
  5. Step 5: Solve for x
    x = 737,049.77/914.66
  6. Step 6: Final answer
    x = 805.82

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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.