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Finding the Fourth Proportional to 929.58, 1,282.61 and 556.42

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Solution

The fourth proportional to 929.58, 1,282.61 and 556.42 is: 767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.58 : 1,282.61 = 556.42 : x
  2. Step 2: Convert to fraction form
    929.58/1,282.61 = 556.42/x
  3. Step 3: Cross multiply
    929.58x = 1,282.61 × 556.42
  4. Step 4: Simplify right side
    929.58x = 713,669.16
  5. Step 5: Solve for x
    x = 713,669.16/929.58
  6. Step 6: Final answer
    x = 767.73

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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.