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Finding the Fourth Proportional to 1,023.33, 1,533.92 and 509.25

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Solution

The fourth proportional to 1,023.33, 1,533.92 and 509.25 is: 763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.33 : 1,533.92 = 509.25 : x
  2. Step 2: Convert to fraction form
    1,023.33/1,533.92 = 509.25/x
  3. Step 3: Cross multiply
    1,023.33x = 1,533.92 × 509.25
  4. Step 4: Simplify right side
    1,023.33x = 781,146.21
  5. Step 5: Solve for x
    x = 781,146.21/1,023.33
  6. Step 6: Final answer
    x = 763.34

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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.