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Finding the Fourth Proportional to 788.93, 1,182.88 and 302.02

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Solution

The fourth proportional to 788.93, 1,182.88 and 302.02 is: 452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.93 : 1,182.88 = 302.02 : x
  2. Step 2: Convert to fraction form
    788.93/1,182.88 = 302.02/x
  3. Step 3: Cross multiply
    788.93x = 1,182.88 × 302.02
  4. Step 4: Simplify right side
    788.93x = 357,253.42
  5. Step 5: Solve for x
    x = 357,253.42/788.93
  6. Step 6: Final answer
    x = 452.83

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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.