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Finding the Fourth Proportional to 898.18, 1,344.84 and 623.62

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Solution

The fourth proportional to 898.18, 1,344.84 and 623.62 is: 933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.18 : 1,344.84 = 623.62 : x
  2. Step 2: Convert to fraction form
    898.18/1,344.84 = 623.62/x
  3. Step 3: Cross multiply
    898.18x = 1,344.84 × 623.62
  4. Step 4: Simplify right side
    898.18x = 838,669.12
  5. Step 5: Solve for x
    x = 838,669.12/898.18
  6. Step 6: Final answer
    x = 933.74

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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.