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Finding the Fourth Proportional to 1,184.55, 1,776.73 and 599.33

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Solution

The fourth proportional to 1,184.55, 1,776.73 and 599.33 is: 898.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.55 : 1,776.73 = 599.33 : x
  2. Step 2: Convert to fraction form
    1,184.55/1,776.73 = 599.33/x
  3. Step 3: Cross multiply
    1,184.55x = 1,776.73 × 599.33
  4. Step 4: Simplify right side
    1,184.55x = 1,064,835.71
  5. Step 5: Solve for x
    x = 1,064,835.71/1,184.55
  6. Step 6: Final answer
    x = 898.94

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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.