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Finding the Fourth Proportional to 1,232.18, 1,848.63 and 501.32

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Solution

The fourth proportional to 1,232.18, 1,848.63 and 501.32 is: 752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.18 : 1,848.63 = 501.32 : x
  2. Step 2: Convert to fraction form
    1,232.18/1,848.63 = 501.32/x
  3. Step 3: Cross multiply
    1,232.18x = 1,848.63 × 501.32
  4. Step 4: Simplify right side
    1,232.18x = 926,755.19
  5. Step 5: Solve for x
    x = 926,755.19/1,232.18
  6. Step 6: Final answer
    x = 752.13

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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.