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Finding the Fourth Proportional to 1,455.36, 2,182.40 and 686.08

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Solution

The fourth proportional to 1,455.36, 2,182.40 and 686.08 is: 1,028.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.36 : 2,182.40 = 686.08 : x
  2. Step 2: Convert to fraction form
    1,455.36/2,182.40 = 686.08/x
  3. Step 3: Cross multiply
    1,455.36x = 2,182.40 × 686.08
  4. Step 4: Simplify right side
    1,455.36x = 1,497,300.99
  5. Step 5: Solve for x
    x = 1,497,300.99/1,455.36
  6. Step 6: Final answer
    x = 1,028.82

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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.