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Finding the Fourth Proportional to 1,482.14, 2,223.24 and 509.36

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Solution

The fourth proportional to 1,482.14, 2,223.24 and 509.36 is: 764.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.14 : 2,223.24 = 509.36 : x
  2. Step 2: Convert to fraction form
    1,482.14/2,223.24 = 509.36/x
  3. Step 3: Cross multiply
    1,482.14x = 2,223.24 × 509.36
  4. Step 4: Simplify right side
    1,482.14x = 1,132,429.53
  5. Step 5: Solve for x
    x = 1,132,429.53/1,482.14
  6. Step 6: Final answer
    x = 764.05

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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.