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Finding the Fourth Proportional to 898.40, 1,346.40 and 652.42

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Solution

The fourth proportional to 898.40, 1,346.40 and 652.42 is: 977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.40 : 1,346.40 = 652.42 : x
  2. Step 2: Convert to fraction form
    898.40/1,346.40 = 652.42/x
  3. Step 3: Cross multiply
    898.40x = 1,346.40 × 652.42
  4. Step 4: Simplify right side
    898.40x = 878,418.29
  5. Step 5: Solve for x
    x = 878,418.29/898.40
  6. Step 6: Final answer
    x = 977.76

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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.