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Finding the Fourth Proportional to 924.30, 1,381.10 and 827.10

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Solution

The fourth proportional to 924.30, 1,381.10 and 827.10 is: 1,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.30 : 1,381.10 = 827.10 : x
  2. Step 2: Convert to fraction form
    924.30/1,381.10 = 827.10/x
  3. Step 3: Cross multiply
    924.30x = 1,381.10 × 827.10
  4. Step 4: Simplify right side
    924.30x = 1,142,303.67
  5. Step 5: Solve for x
    x = 1,142,303.67/924.30
  6. Step 6: Final answer
    x = 1,235.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.