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Finding the Fourth Proportional to 1,177.37, 1,764.71 and 483.15

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Solution

The fourth proportional to 1,177.37, 1,764.71 and 483.15 is: 724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.37 : 1,764.71 = 483.15 : x
  2. Step 2: Convert to fraction form
    1,177.37/1,764.71 = 483.15/x
  3. Step 3: Cross multiply
    1,177.37x = 1,764.71 × 483.15
  4. Step 4: Simplify right side
    1,177.37x = 852,619.64
  5. Step 5: Solve for x
    x = 852,619.64/1,177.37
  6. Step 6: Final answer
    x = 724.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.