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Finding the Fourth Proportional to 1,185.02, 1,777.52 and 415.52

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Solution

The fourth proportional to 1,185.02, 1,777.52 and 415.52 is: 623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.02 : 1,777.52 = 415.52 : x
  2. Step 2: Convert to fraction form
    1,185.02/1,777.52 = 415.52/x
  3. Step 3: Cross multiply
    1,185.02x = 1,777.52 × 415.52
  4. Step 4: Simplify right side
    1,185.02x = 738,595.11
  5. Step 5: Solve for x
    x = 738,595.11/1,185.02
  6. Step 6: Final answer
    x = 623.28

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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.