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Finding the Fourth Proportional to 1,085.19, 1,627.43 and 468.51

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Solution

The fourth proportional to 1,085.19, 1,627.43 and 468.51 is: 702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.19 : 1,627.43 = 468.51 : x
  2. Step 2: Convert to fraction form
    1,085.19/1,627.43 = 468.51/x
  3. Step 3: Cross multiply
    1,085.19x = 1,627.43 × 468.51
  4. Step 4: Simplify right side
    1,085.19x = 762,464.89
  5. Step 5: Solve for x
    x = 762,464.89/1,085.19
  6. Step 6: Final answer
    x = 702.61

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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.