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Finding the Fourth Proportional to 1,276.55, 1,913.71 and 496.01

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Solution

The fourth proportional to 1,276.55, 1,913.71 and 496.01 is: 743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.55 : 1,913.71 = 496.01 : x
  2. Step 2: Convert to fraction form
    1,276.55/1,913.71 = 496.01/x
  3. Step 3: Cross multiply
    1,276.55x = 1,913.71 × 496.01
  4. Step 4: Simplify right side
    1,276.55x = 949,219.30
  5. Step 5: Solve for x
    x = 949,219.30/1,276.55
  6. Step 6: Final answer
    x = 743.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.