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Finding the Fourth Proportional to 774.06, 1,162.35 and 653.10

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Solution

The fourth proportional to 774.06, 1,162.35 and 653.10 is: 980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.06 : 1,162.35 = 653.10 : x
  2. Step 2: Convert to fraction form
    774.06/1,162.35 = 653.10/x
  3. Step 3: Cross multiply
    774.06x = 1,162.35 × 653.10
  4. Step 4: Simplify right side
    774.06x = 759,130.79
  5. Step 5: Solve for x
    x = 759,130.79/774.06
  6. Step 6: Final answer
    x = 980.71

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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.