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Finding the Fourth Proportional to 1,420.74, 2,131.47 and 554.76

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Solution

The fourth proportional to 1,420.74, 2,131.47 and 554.76 is: 832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.74 : 2,131.47 = 554.76 : x
  2. Step 2: Convert to fraction form
    1,420.74/2,131.47 = 554.76/x
  3. Step 3: Cross multiply
    1,420.74x = 2,131.47 × 554.76
  4. Step 4: Simplify right side
    1,420.74x = 1,182,454.30
  5. Step 5: Solve for x
    x = 1,182,454.30/1,420.74
  6. Step 6: Final answer
    x = 832.28

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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.