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Finding the Fourth Proportional to 1,274.80, 1,913.08 and 544.58

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Solution

The fourth proportional to 1,274.80, 1,913.08 and 544.58 is: 817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.80 : 1,913.08 = 544.58 : x
  2. Step 2: Convert to fraction form
    1,274.80/1,913.08 = 544.58/x
  3. Step 3: Cross multiply
    1,274.80x = 1,913.08 × 544.58
  4. Step 4: Simplify right side
    1,274.80x = 1,041,825.11
  5. Step 5: Solve for x
    x = 1,041,825.11/1,274.80
  6. Step 6: Final answer
    x = 817.25

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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.