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Finding the Fourth Proportional to 1,182.07, 1,770.24 and 1,007.74

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Solution

The fourth proportional to 1,182.07, 1,770.24 and 1,007.74 is: 1,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.07 : 1,770.24 = 1,007.74 : x
  2. Step 2: Convert to fraction form
    1,182.07/1,770.24 = 1,007.74/x
  3. Step 3: Cross multiply
    1,182.07x = 1,770.24 × 1,007.74
  4. Step 4: Simplify right side
    1,182.07x = 1,783,932.81
  5. Step 5: Solve for x
    x = 1,783,932.81/1,182.07
  6. Step 6: Final answer
    x = 1,509.17

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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.