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Finding the Fourth Proportional to 1,179.99, 1,769.98 and 314.30

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Solution

The fourth proportional to 1,179.99, 1,769.98 and 314.30 is: 471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.99 : 1,769.98 = 314.30 : x
  2. Step 2: Convert to fraction form
    1,179.99/1,769.98 = 314.30/x
  3. Step 3: Cross multiply
    1,179.99x = 1,769.98 × 314.30
  4. Step 4: Simplify right side
    1,179.99x = 556,305.50
  5. Step 5: Solve for x
    x = 556,305.50/1,179.99
  6. Step 6: Final answer
    x = 471.45

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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.