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Finding the Fourth Proportional to 780.68, 1,170.36 and 455.68

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Solution

The fourth proportional to 780.68, 1,170.36 and 455.68 is: 683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.68 : 1,170.36 = 455.68 : x
  2. Step 2: Convert to fraction form
    780.68/1,170.36 = 455.68/x
  3. Step 3: Cross multiply
    780.68x = 1,170.36 × 455.68
  4. Step 4: Simplify right side
    780.68x = 533,309.64
  5. Step 5: Solve for x
    x = 533,309.64/780.68
  6. Step 6: Final answer
    x = 683.13

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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.