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Finding the Fourth Proportional to 1,364.65, 1,883.76 and 923.86

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Solution

The fourth proportional to 1,364.65, 1,883.76 and 923.86 is: 1,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.65 : 1,883.76 = 923.86 : x
  2. Step 2: Convert to fraction form
    1,364.65/1,883.76 = 923.86/x
  3. Step 3: Cross multiply
    1,364.65x = 1,883.76 × 923.86
  4. Step 4: Simplify right side
    1,364.65x = 1,740,318.81
  5. Step 5: Solve for x
    x = 1,740,318.81/1,364.65
  6. Step 6: Final answer
    x = 1,275.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.