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Finding the Fourth Proportional to 1,526.78, 2,290.16 and 552.48

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Solution

The fourth proportional to 1,526.78, 2,290.16 and 552.48 is: 828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.78 : 2,290.16 = 552.48 : x
  2. Step 2: Convert to fraction form
    1,526.78/2,290.16 = 552.48/x
  3. Step 3: Cross multiply
    1,526.78x = 2,290.16 × 552.48
  4. Step 4: Simplify right side
    1,526.78x = 1,265,268.98
  5. Step 5: Solve for x
    x = 1,265,268.98/1,526.78
  6. Step 6: Final answer
    x = 828.72

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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.