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Finding the Fourth Proportional to 788.76, 1,182.84 and 464.22

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Solution

The fourth proportional to 788.76, 1,182.84 and 464.22 is: 696.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.76 : 1,182.84 = 464.22 : x
  2. Step 2: Convert to fraction form
    788.76/1,182.84 = 464.22/x
  3. Step 3: Cross multiply
    788.76x = 1,182.84 × 464.22
  4. Step 4: Simplify right side
    788.76x = 549,097.98
  5. Step 5: Solve for x
    x = 549,097.98/788.76
  6. Step 6: Final answer
    x = 696.15

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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.