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Finding the Fourth Proportional to 1,563.90, 2,346.06 and 468.12

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Solution

The fourth proportional to 1,563.90, 2,346.06 and 468.12 is: 702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.90 : 2,346.06 = 468.12 : x
  2. Step 2: Convert to fraction form
    1,563.90/2,346.06 = 468.12/x
  3. Step 3: Cross multiply
    1,563.90x = 2,346.06 × 468.12
  4. Step 4: Simplify right side
    1,563.90x = 1,098,237.61
  5. Step 5: Solve for x
    x = 1,098,237.61/1,563.90
  6. Step 6: Final answer
    x = 702.24

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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.