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Finding the Fourth Proportional to 1,185.15, 1,776.61 and 637.39

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Solution

The fourth proportional to 1,185.15, 1,776.61 and 637.39 is: 955.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.15 : 1,776.61 = 637.39 : x
  2. Step 2: Convert to fraction form
    1,185.15/1,776.61 = 637.39/x
  3. Step 3: Cross multiply
    1,185.15x = 1,776.61 × 637.39
  4. Step 4: Simplify right side
    1,185.15x = 1,132,393.45
  5. Step 5: Solve for x
    x = 1,132,393.45/1,185.15
  6. Step 6: Final answer
    x = 955.49

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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.