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Finding the Fourth Proportional to 1,455.12, 2,182.82 and 530.78

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Solution

The fourth proportional to 1,455.12, 2,182.82 and 530.78 is: 796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.12 : 2,182.82 = 530.78 : x
  2. Step 2: Convert to fraction form
    1,455.12/2,182.82 = 530.78/x
  3. Step 3: Cross multiply
    1,455.12x = 2,182.82 × 530.78
  4. Step 4: Simplify right side
    1,455.12x = 1,158,583.63
  5. Step 5: Solve for x
    x = 1,158,583.63/1,455.12
  6. Step 6: Final answer
    x = 796.21

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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.