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Finding the Fourth Proportional to 1,281.95, 1,921.77 and 460.03

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Solution

The fourth proportional to 1,281.95, 1,921.77 and 460.03 is: 689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.95 : 1,921.77 = 460.03 : x
  2. Step 2: Convert to fraction form
    1,281.95/1,921.77 = 460.03/x
  3. Step 3: Cross multiply
    1,281.95x = 1,921.77 × 460.03
  4. Step 4: Simplify right side
    1,281.95x = 884,071.85
  5. Step 5: Solve for x
    x = 884,071.85/1,281.95
  6. Step 6: Final answer
    x = 689.63

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