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Finding the Fourth Proportional to 914.20, 1,263.44 and 693.08

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Solution

The fourth proportional to 914.20, 1,263.44 and 693.08 is: 957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.20 : 1,263.44 = 693.08 : x
  2. Step 2: Convert to fraction form
    914.20/1,263.44 = 693.08/x
  3. Step 3: Cross multiply
    914.20x = 1,263.44 × 693.08
  4. Step 4: Simplify right side
    914.20x = 875,665.00
  5. Step 5: Solve for x
    x = 875,665.00/914.20
  6. Step 6: Final answer
    x = 957.85

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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.