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Finding the Fourth Proportional to 779.08, 1,170.32 and 471.08

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Solution

The fourth proportional to 779.08, 1,170.32 and 471.08 is: 707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.08 : 1,170.32 = 471.08 : x
  2. Step 2: Convert to fraction form
    779.08/1,170.32 = 471.08/x
  3. Step 3: Cross multiply
    779.08x = 1,170.32 × 471.08
  4. Step 4: Simplify right side
    779.08x = 551,314.35
  5. Step 5: Solve for x
    x = 551,314.35/779.08
  6. Step 6: Final answer
    x = 707.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.