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Finding the Fourth Proportional to 780.42, 1,073.61 and 674.72

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Solution

The fourth proportional to 780.42, 1,073.61 and 674.72 is: 928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.42 : 1,073.61 = 674.72 : x
  2. Step 2: Convert to fraction form
    780.42/1,073.61 = 674.72/x
  3. Step 3: Cross multiply
    780.42x = 1,073.61 × 674.72
  4. Step 4: Simplify right side
    780.42x = 724,386.14
  5. Step 5: Solve for x
    x = 724,386.14/780.42
  6. Step 6: Final answer
    x = 928.20

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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.