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Finding the Fourth Proportional to 779.08, 1,074.98 and 468.68

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Solution

The fourth proportional to 779.08, 1,074.98 and 468.68 is: 646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.08 : 1,074.98 = 468.68 : x
  2. Step 2: Convert to fraction form
    779.08/1,074.98 = 468.68/x
  3. Step 3: Cross multiply
    779.08x = 1,074.98 × 468.68
  4. Step 4: Simplify right side
    779.08x = 503,821.63
  5. Step 5: Solve for x
    x = 503,821.63/779.08
  6. Step 6: Final answer
    x = 646.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.