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Finding the Fourth Proportional to 929.21, 1,282.31 and 509.56

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Solution

The fourth proportional to 929.21, 1,282.31 and 509.56 is: 703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.21 : 1,282.31 = 509.56 : x
  2. Step 2: Convert to fraction form
    929.21/1,282.31 = 509.56/x
  3. Step 3: Cross multiply
    929.21x = 1,282.31 × 509.56
  4. Step 4: Simplify right side
    929.21x = 653,412.91
  5. Step 5: Solve for x
    x = 653,412.91/929.21
  6. Step 6: Final answer
    x = 703.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.