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Finding the Fourth Proportional to 1,085.01, 1,627.52 and 468.60

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Solution

The fourth proportional to 1,085.01, 1,627.52 and 468.60 is: 702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.01 : 1,627.52 = 468.60 : x
  2. Step 2: Convert to fraction form
    1,085.01/1,627.52 = 468.60/x
  3. Step 3: Cross multiply
    1,085.01x = 1,627.52 × 468.60
  4. Step 4: Simplify right side
    1,085.01x = 762,653.53
  5. Step 5: Solve for x
    x = 762,653.53/1,085.01
  6. Step 6: Final answer
    x = 702.90

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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.