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Finding the Fourth Proportional to 898.11, 1,345.82 and 411.03

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Solution

The fourth proportional to 898.11, 1,345.82 and 411.03 is: 615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.11 : 1,345.82 = 411.03 : x
  2. Step 2: Convert to fraction form
    898.11/1,345.82 = 411.03/x
  3. Step 3: Cross multiply
    898.11x = 1,345.82 × 411.03
  4. Step 4: Simplify right side
    898.11x = 553,170.34
  5. Step 5: Solve for x
    x = 553,170.34/898.11
  6. Step 6: Final answer
    x = 615.93

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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.