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Finding the Fourth Proportional to 924.70, 1,387.05 and 823.90

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Solution

The fourth proportional to 924.70, 1,387.05 and 823.90 is: 1,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.70 : 1,387.05 = 823.90 : x
  2. Step 2: Convert to fraction form
    924.70/1,387.05 = 823.90/x
  3. Step 3: Cross multiply
    924.70x = 1,387.05 × 823.90
  4. Step 4: Simplify right side
    924.70x = 1,142,790.50
  5. Step 5: Solve for x
    x = 1,142,790.50/924.70
  6. Step 6: Final answer
    x = 1,235.85

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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.