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Finding the Fourth Proportional to 1,146.57, 1,719.64 and 324.65

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Solution

The fourth proportional to 1,146.57, 1,719.64 and 324.65 is: 486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.57 : 1,719.64 = 324.65 : x
  2. Step 2: Convert to fraction form
    1,146.57/1,719.64 = 324.65/x
  3. Step 3: Cross multiply
    1,146.57x = 1,719.64 × 324.65
  4. Step 4: Simplify right side
    1,146.57x = 558,271.72
  5. Step 5: Solve for x
    x = 558,271.72/1,146.57
  6. Step 6: Final answer
    x = 486.91

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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.