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Finding the Fourth Proportional to 1,433.73, 2,150.59 and 509.32

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Solution

The fourth proportional to 1,433.73, 2,150.59 and 509.32 is: 763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.73 : 2,150.59 = 509.32 : x
  2. Step 2: Convert to fraction form
    1,433.73/2,150.59 = 509.32/x
  3. Step 3: Cross multiply
    1,433.73x = 2,150.59 × 509.32
  4. Step 4: Simplify right side
    1,433.73x = 1,095,338.50
  5. Step 5: Solve for x
    x = 1,095,338.50/1,433.73
  6. Step 6: Final answer
    x = 763.98

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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.