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Finding the Fourth Proportional to 788.08, 1,182.14 and 210.94

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Solution

The fourth proportional to 788.08, 1,182.14 and 210.94 is: 316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.08 : 1,182.14 = 210.94 : x
  2. Step 2: Convert to fraction form
    788.08/1,182.14 = 210.94/x
  3. Step 3: Cross multiply
    788.08x = 1,182.14 × 210.94
  4. Step 4: Simplify right side
    788.08x = 249,360.61
  5. Step 5: Solve for x
    x = 249,360.61/788.08
  6. Step 6: Final answer
    x = 316.42

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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.