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Finding the Fourth Proportional to 1,184.69, 1,777.02 and 319.00

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Solution

The fourth proportional to 1,184.69, 1,777.02 and 319.00 is: 478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.69 : 1,777.02 = 319.00 : x
  2. Step 2: Convert to fraction form
    1,184.69/1,777.02 = 319.00/x
  3. Step 3: Cross multiply
    1,184.69x = 1,777.02 × 319.00
  4. Step 4: Simplify right side
    1,184.69x = 566,860.49
  5. Step 5: Solve for x
    x = 566,860.49/1,184.69
  6. Step 6: Final answer
    x = 478.49

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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.