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Finding the Fourth Proportional to 1,400.28, 2,098.53 and 534.12

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Solution

The fourth proportional to 1,400.28, 2,098.53 and 534.12 is: 800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.28 : 2,098.53 = 534.12 : x
  2. Step 2: Convert to fraction form
    1,400.28/2,098.53 = 534.12/x
  3. Step 3: Cross multiply
    1,400.28x = 2,098.53 × 534.12
  4. Step 4: Simplify right side
    1,400.28x = 1,120,866.84
  5. Step 5: Solve for x
    x = 1,120,866.84/1,400.28
  6. Step 6: Final answer
    x = 800.46

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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.