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Finding the Fourth Proportional to 1,394.69, 2,092.16 and 470.00

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Solution

The fourth proportional to 1,394.69, 2,092.16 and 470.00 is: 705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.69 : 2,092.16 = 470.00 : x
  2. Step 2: Convert to fraction form
    1,394.69/2,092.16 = 470.00/x
  3. Step 3: Cross multiply
    1,394.69x = 2,092.16 × 470.00
  4. Step 4: Simplify right side
    1,394.69x = 983,321.61
  5. Step 5: Solve for x
    x = 983,321.61/1,394.69
  6. Step 6: Final answer
    x = 705.05

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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.