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Finding the Fourth Proportional to 1,552.53, 2,328.73 and 526.53

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Solution

The fourth proportional to 1,552.53, 2,328.73 and 526.53 is: 789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.53 : 2,328.73 = 526.53 : x
  2. Step 2: Convert to fraction form
    1,552.53/2,328.73 = 526.53/x
  3. Step 3: Cross multiply
    1,552.53x = 2,328.73 × 526.53
  4. Step 4: Simplify right side
    1,552.53x = 1,226,146.21
  5. Step 5: Solve for x
    x = 1,226,146.21/1,552.53
  6. Step 6: Final answer
    x = 789.77

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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.