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Finding the Fourth Proportional to 1,551.16, 2,326.40 and 729.80

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Solution

The fourth proportional to 1,551.16, 2,326.40 and 729.80 is: 1,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.16 : 2,326.40 = 729.80 : x
  2. Step 2: Convert to fraction form
    1,551.16/2,326.40 = 729.80/x
  3. Step 3: Cross multiply
    1,551.16x = 2,326.40 × 729.80
  4. Step 4: Simplify right side
    1,551.16x = 1,697,806.72
  5. Step 5: Solve for x
    x = 1,697,806.72/1,551.16
  6. Step 6: Final answer
    x = 1,094.54

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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.