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Finding the Fourth Proportional to 1,281.27, 1,921.74 and 415.50

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Solution

The fourth proportional to 1,281.27, 1,921.74 and 415.50 is: 623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.27 : 1,921.74 = 415.50 : x
  2. Step 2: Convert to fraction form
    1,281.27/1,921.74 = 415.50/x
  3. Step 3: Cross multiply
    1,281.27x = 1,921.74 × 415.50
  4. Step 4: Simplify right side
    1,281.27x = 798,482.97
  5. Step 5: Solve for x
    x = 798,482.97/1,281.27
  6. Step 6: Final answer
    x = 623.20

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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.