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Finding the Fourth Proportional to 703.47, 969.44 and 496.11

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Solution

The fourth proportional to 703.47, 969.44 and 496.11 is: 683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.47 : 969.44 = 496.11 : x
  2. Step 2: Convert to fraction form
    703.47/969.44 = 496.11/x
  3. Step 3: Cross multiply
    703.47x = 969.44 × 496.11
  4. Step 4: Simplify right side
    703.47x = 480,946.40
  5. Step 5: Solve for x
    x = 480,946.40/703.47
  6. Step 6: Final answer
    x = 683.68

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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.