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Finding the Fourth Proportional to 1,281.81, 1,922.96 and 460.05

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Solution

The fourth proportional to 1,281.81, 1,922.96 and 460.05 is: 690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.81 : 1,922.96 = 460.05 : x
  2. Step 2: Convert to fraction form
    1,281.81/1,922.96 = 460.05/x
  3. Step 3: Cross multiply
    1,281.81x = 1,922.96 × 460.05
  4. Step 4: Simplify right side
    1,281.81x = 884,649.10
  5. Step 5: Solve for x
    x = 884,649.10/1,281.81
  6. Step 6: Final answer
    x = 690.16

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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.