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Finding the Fourth Proportional to 914.85, 1,262.08 and 583.15

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Solution

The fourth proportional to 914.85, 1,262.08 and 583.15 is: 804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.85 : 1,262.08 = 583.15 : x
  2. Step 2: Convert to fraction form
    914.85/1,262.08 = 583.15/x
  3. Step 3: Cross multiply
    914.85x = 1,262.08 × 583.15
  4. Step 4: Simplify right side
    914.85x = 735,981.95
  5. Step 5: Solve for x
    x = 735,981.95/914.85
  6. Step 6: Final answer
    x = 804.48

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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.