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Finding the Fourth Proportional to 1,455.17, 2,007.72 and 825.66

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Solution

The fourth proportional to 1,455.17, 2,007.72 and 825.66 is: 1,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.17 : 2,007.72 = 825.66 : x
  2. Step 2: Convert to fraction form
    1,455.17/2,007.72 = 825.66/x
  3. Step 3: Cross multiply
    1,455.17x = 2,007.72 × 825.66
  4. Step 4: Simplify right side
    1,455.17x = 1,657,694.10
  5. Step 5: Solve for x
    x = 1,657,694.10/1,455.17
  6. Step 6: Final answer
    x = 1,139.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.