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Finding the Fourth Proportional to 929.44, 1,282.64 and 597.88

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Solution

The fourth proportional to 929.44, 1,282.64 and 597.88 is: 825.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.44 : 1,282.64 = 597.88 : x
  2. Step 2: Convert to fraction form
    929.44/1,282.64 = 597.88/x
  3. Step 3: Cross multiply
    929.44x = 1,282.64 × 597.88
  4. Step 4: Simplify right side
    929.44x = 766,864.80
  5. Step 5: Solve for x
    x = 766,864.80/929.44
  6. Step 6: Final answer
    x = 825.08

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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.