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Finding the Fourth Proportional to 1,281.93, 1,922.90 and 460.21

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Solution

The fourth proportional to 1,281.93, 1,922.90 and 460.21 is: 690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.93 : 1,922.90 = 460.21 : x
  2. Step 2: Convert to fraction form
    1,281.93/1,922.90 = 460.21/x
  3. Step 3: Cross multiply
    1,281.93x = 1,922.90 × 460.21
  4. Step 4: Simplify right side
    1,281.93x = 884,936.19
  5. Step 5: Solve for x
    x = 884,936.19/1,281.93
  6. Step 6: Final answer
    x = 690.32

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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.