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Finding the Fourth Proportional to 1,148.04, 1,719.54 and 927.72

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Solution

The fourth proportional to 1,148.04, 1,719.54 and 927.72 is: 1,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.04 : 1,719.54 = 927.72 : x
  2. Step 2: Convert to fraction form
    1,148.04/1,719.54 = 927.72/x
  3. Step 3: Cross multiply
    1,148.04x = 1,719.54 × 927.72
  4. Step 4: Simplify right side
    1,148.04x = 1,595,251.65
  5. Step 5: Solve for x
    x = 1,595,251.65/1,148.04
  6. Step 6: Final answer
    x = 1,389.54

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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.