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Finding the Fourth Proportional to 929.88, 1,398.47 and 784.08

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Solution

The fourth proportional to 929.88, 1,398.47 and 784.08 is: 1,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.88 : 1,398.47 = 784.08 : x
  2. Step 2: Convert to fraction form
    929.88/1,398.47 = 784.08/x
  3. Step 3: Cross multiply
    929.88x = 1,398.47 × 784.08
  4. Step 4: Simplify right side
    929.88x = 1,096,508.44
  5. Step 5: Solve for x
    x = 1,096,508.44/929.88
  6. Step 6: Final answer
    x = 1,179.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.