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Finding the Fourth Proportional to 914.46, 1,374.43 and 805.11

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Solution

The fourth proportional to 914.46, 1,374.43 and 805.11 is: 1,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.46 : 1,374.43 = 805.11 : x
  2. Step 2: Convert to fraction form
    914.46/1,374.43 = 805.11/x
  3. Step 3: Cross multiply
    914.46x = 1,374.43 × 805.11
  4. Step 4: Simplify right side
    914.46x = 1,106,574.41
  5. Step 5: Solve for x
    x = 1,106,574.41/914.46
  6. Step 6: Final answer
    x = 1,210.08

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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.