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Finding the Fourth Proportional to 932.94, 1,399.50 and 412.71

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Solution

The fourth proportional to 932.94, 1,399.50 and 412.71 is: 619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.94 : 1,399.50 = 412.71 : x
  2. Step 2: Convert to fraction form
    932.94/1,399.50 = 412.71/x
  3. Step 3: Cross multiply
    932.94x = 1,399.50 × 412.71
  4. Step 4: Simplify right side
    932.94x = 577,587.65
  5. Step 5: Solve for x
    x = 577,587.65/932.94
  6. Step 6: Final answer
    x = 619.10

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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.