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Finding the Fourth Proportional to 1,232.53, 1,848.10 and 501.25

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Solution

The fourth proportional to 1,232.53, 1,848.10 and 501.25 is: 751.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.53 : 1,848.10 = 501.25 : x
  2. Step 2: Convert to fraction form
    1,232.53/1,848.10 = 501.25/x
  3. Step 3: Cross multiply
    1,232.53x = 1,848.10 × 501.25
  4. Step 4: Simplify right side
    1,232.53x = 926,360.13
  5. Step 5: Solve for x
    x = 926,360.13/1,232.53
  6. Step 6: Final answer
    x = 751.59

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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.