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Finding the Fourth Proportional to 1,206.69, 1,810.04 and 294.69

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Solution

The fourth proportional to 1,206.69, 1,810.04 and 294.69 is: 442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.69 : 1,810.04 = 294.69 : x
  2. Step 2: Convert to fraction form
    1,206.69/1,810.04 = 294.69/x
  3. Step 3: Cross multiply
    1,206.69x = 1,810.04 × 294.69
  4. Step 4: Simplify right side
    1,206.69x = 533,399.21
  5. Step 5: Solve for x
    x = 533,399.21/1,206.69
  6. Step 6: Final answer
    x = 442.04

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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.