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Finding the Fourth Proportional to 929.10, 1,282.17 and 509.46

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Solution

The fourth proportional to 929.10, 1,282.17 and 509.46 is: 703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.10 : 1,282.17 = 509.46 : x
  2. Step 2: Convert to fraction form
    929.10/1,282.17 = 509.46/x
  3. Step 3: Cross multiply
    929.10x = 1,282.17 × 509.46
  4. Step 4: Simplify right side
    929.10x = 653,214.33
  5. Step 5: Solve for x
    x = 653,214.33/929.10
  6. Step 6: Final answer
    x = 703.06

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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.