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Finding the Fourth Proportional to 785.13, 1,176.77 and 297.71

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Solution

The fourth proportional to 785.13, 1,176.77 and 297.71 is: 446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.13 : 1,176.77 = 297.71 : x
  2. Step 2: Convert to fraction form
    785.13/1,176.77 = 297.71/x
  3. Step 3: Cross multiply
    785.13x = 1,176.77 × 297.71
  4. Step 4: Simplify right side
    785.13x = 350,328.82
  5. Step 5: Solve for x
    x = 350,328.82/785.13
  6. Step 6: Final answer
    x = 446.20

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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.