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Finding the Fourth Proportional to 1,525.71, 2,288.54 and 551.57

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Solution

The fourth proportional to 1,525.71, 2,288.54 and 551.57 is: 827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.71 : 2,288.54 = 551.57 : x
  2. Step 2: Convert to fraction form
    1,525.71/2,288.54 = 551.57/x
  3. Step 3: Cross multiply
    1,525.71x = 2,288.54 × 551.57
  4. Step 4: Simplify right side
    1,525.71x = 1,262,297.11
  5. Step 5: Solve for x
    x = 1,262,297.11/1,525.71
  6. Step 6: Final answer
    x = 827.35

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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.