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Finding the Fourth Proportional to 1,318.24, 1,973.16 and 927.76

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Solution

The fourth proportional to 1,318.24, 1,973.16 and 927.76 is: 1,388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.24 : 1,973.16 = 927.76 : x
  2. Step 2: Convert to fraction form
    1,318.24/1,973.16 = 927.76/x
  3. Step 3: Cross multiply
    1,318.24x = 1,973.16 × 927.76
  4. Step 4: Simplify right side
    1,318.24x = 1,830,618.92
  5. Step 5: Solve for x
    x = 1,830,618.92/1,318.24
  6. Step 6: Final answer
    x = 1,388.68

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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.