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Finding the Fourth Proportional to 1,026.00, 1,539.24 and 332.67

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Solution

The fourth proportional to 1,026.00, 1,539.24 and 332.67 is: 499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.00 : 1,539.24 = 332.67 : x
  2. Step 2: Convert to fraction form
    1,026.00/1,539.24 = 332.67/x
  3. Step 3: Cross multiply
    1,026.00x = 1,539.24 × 332.67
  4. Step 4: Simplify right side
    1,026.00x = 512,058.29
  5. Step 5: Solve for x
    x = 512,058.29/1,026.00
  6. Step 6: Final answer
    x = 499.08

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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.