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Finding the Fourth Proportional to 929.10, 1,389.65 and 832.30

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Solution

The fourth proportional to 929.10, 1,389.65 and 832.30 is: 1,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.10 : 1,389.65 = 832.30 : x
  2. Step 2: Convert to fraction form
    929.10/1,389.65 = 832.30/x
  3. Step 3: Cross multiply
    929.10x = 1,389.65 × 832.30
  4. Step 4: Simplify right side
    929.10x = 1,156,605.70
  5. Step 5: Solve for x
    x = 1,156,605.70/929.10
  6. Step 6: Final answer
    x = 1,244.87

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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.