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Finding the Fourth Proportional to 1,184.27, 1,775.88 and 999.27

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Solution

The fourth proportional to 1,184.27, 1,775.88 and 999.27 is: 1,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.27 : 1,775.88 = 999.27 : x
  2. Step 2: Convert to fraction form
    1,184.27/1,775.88 = 999.27/x
  3. Step 3: Cross multiply
    1,184.27x = 1,775.88 × 999.27
  4. Step 4: Simplify right side
    1,184.27x = 1,774,583.61
  5. Step 5: Solve for x
    x = 1,774,583.61/1,184.27
  6. Step 6: Final answer
    x = 1,498.47

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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.