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Finding the Fourth Proportional to 1,178.36, 1,770.24 and 973.72

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Solution

The fourth proportional to 1,178.36, 1,770.24 and 973.72 is: 1,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.36 : 1,770.24 = 973.72 : x
  2. Step 2: Convert to fraction form
    1,178.36/1,770.24 = 973.72/x
  3. Step 3: Cross multiply
    1,178.36x = 1,770.24 × 973.72
  4. Step 4: Simplify right side
    1,178.36x = 1,723,718.09
  5. Step 5: Solve for x
    x = 1,723,718.09/1,178.36
  6. Step 6: Final answer
    x = 1,462.81

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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.