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Finding the Fourth Proportional to 929.08, 1,282.14 and 509.42

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Solution

The fourth proportional to 929.08, 1,282.14 and 509.42 is: 703.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.08 : 1,282.14 = 509.42 : x
  2. Step 2: Convert to fraction form
    929.08/1,282.14 = 509.42/x
  3. Step 3: Cross multiply
    929.08x = 1,282.14 × 509.42
  4. Step 4: Simplify right side
    929.08x = 653,150.96
  5. Step 5: Solve for x
    x = 653,150.96/929.08
  6. Step 6: Final answer
    x = 703.01

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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.