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Finding the Fourth Proportional to 1,184.36, 1,776.78 and 599.24

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Solution

The fourth proportional to 1,184.36, 1,776.78 and 599.24 is: 898.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.36 : 1,776.78 = 599.24 : x
  2. Step 2: Convert to fraction form
    1,184.36/1,776.78 = 599.24/x
  3. Step 3: Cross multiply
    1,184.36x = 1,776.78 × 599.24
  4. Step 4: Simplify right side
    1,184.36x = 1,064,717.65
  5. Step 5: Solve for x
    x = 1,064,717.65/1,184.36
  6. Step 6: Final answer
    x = 898.98

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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.