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Finding the Fourth Proportional to 1,152.24, 1,729.71 and 906.18

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Solution

The fourth proportional to 1,152.24, 1,729.71 and 906.18 is: 1,360.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.24 : 1,729.71 = 906.18 : x
  2. Step 2: Convert to fraction form
    1,152.24/1,729.71 = 906.18/x
  3. Step 3: Cross multiply
    1,152.24x = 1,729.71 × 906.18
  4. Step 4: Simplify right side
    1,152.24x = 1,567,428.61
  5. Step 5: Solve for x
    x = 1,567,428.61/1,152.24
  6. Step 6: Final answer
    x = 1,360.33

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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.