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Finding the Fourth Proportional to 957.71, 1,437.18 and 409.90

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Solution

The fourth proportional to 957.71, 1,437.18 and 409.90 is: 615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.71 : 1,437.18 = 409.90 : x
  2. Step 2: Convert to fraction form
    957.71/1,437.18 = 409.90/x
  3. Step 3: Cross multiply
    957.71x = 1,437.18 × 409.90
  4. Step 4: Simplify right side
    957.71x = 589,100.08
  5. Step 5: Solve for x
    x = 589,100.08/957.71
  6. Step 6: Final answer
    x = 615.11

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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.