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Finding the Fourth Proportional to 1,464.53, 2,193.60 and 732.83

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Solution

The fourth proportional to 1,464.53, 2,193.60 and 732.83 is: 1,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.53 : 2,193.60 = 732.83 : x
  2. Step 2: Convert to fraction form
    1,464.53/2,193.60 = 732.83/x
  3. Step 3: Cross multiply
    1,464.53x = 2,193.60 × 732.83
  4. Step 4: Simplify right side
    1,464.53x = 1,607,535.89
  5. Step 5: Solve for x
    x = 1,607,535.89/1,464.53
  6. Step 6: Final answer
    x = 1,097.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.