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Finding the Fourth Proportional to 1,214.73, 1,823.04 and 565.65

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Solution

The fourth proportional to 1,214.73, 1,823.04 and 565.65 is: 848.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.73 : 1,823.04 = 565.65 : x
  2. Step 2: Convert to fraction form
    1,214.73/1,823.04 = 565.65/x
  3. Step 3: Cross multiply
    1,214.73x = 1,823.04 × 565.65
  4. Step 4: Simplify right side
    1,214.73x = 1,031,202.58
  5. Step 5: Solve for x
    x = 1,031,202.58/1,214.73
  6. Step 6: Final answer
    x = 848.92

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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.