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Finding the Fourth Proportional to 1,455.03, 2,182.77 and 468.09

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Solution

The fourth proportional to 1,455.03, 2,182.77 and 468.09 is: 702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.03 : 2,182.77 = 468.09 : x
  2. Step 2: Convert to fraction form
    1,455.03/2,182.77 = 468.09/x
  3. Step 3: Cross multiply
    1,455.03x = 2,182.77 × 468.09
  4. Step 4: Simplify right side
    1,455.03x = 1,021,732.81
  5. Step 5: Solve for x
    x = 1,021,732.81/1,455.03
  6. Step 6: Final answer
    x = 702.21

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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.