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Finding the Fourth Proportional to 1,193.48, 1,646.36 and 898.24

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Solution

The fourth proportional to 1,193.48, 1,646.36 and 898.24 is: 1,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.48 : 1,646.36 = 898.24 : x
  2. Step 2: Convert to fraction form
    1,193.48/1,646.36 = 898.24/x
  3. Step 3: Cross multiply
    1,193.48x = 1,646.36 × 898.24
  4. Step 4: Simplify right side
    1,193.48x = 1,478,826.41
  5. Step 5: Solve for x
    x = 1,478,826.41/1,193.48
  6. Step 6: Final answer
    x = 1,239.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.