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Finding the Fourth Proportional to 1,452.55, 2,178.65 and 465.47

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Solution

The fourth proportional to 1,452.55, 2,178.65 and 465.47 is: 698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.55 : 2,178.65 = 465.47 : x
  2. Step 2: Convert to fraction form
    1,452.55/2,178.65 = 465.47/x
  3. Step 3: Cross multiply
    1,452.55x = 2,178.65 × 465.47
  4. Step 4: Simplify right side
    1,452.55x = 1,014,093.89
  5. Step 5: Solve for x
    x = 1,014,093.89/1,452.55
  6. Step 6: Final answer
    x = 698.15

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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.