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Finding the Fourth Proportional to 807.76, 1,211.10 and 374.68

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Solution

The fourth proportional to 807.76, 1,211.10 and 374.68 is: 561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.76 : 1,211.10 = 374.68 : x
  2. Step 2: Convert to fraction form
    807.76/1,211.10 = 374.68/x
  3. Step 3: Cross multiply
    807.76x = 1,211.10 × 374.68
  4. Step 4: Simplify right side
    807.76x = 453,774.95
  5. Step 5: Solve for x
    x = 453,774.95/807.76
  6. Step 6: Final answer
    x = 561.77

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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.