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Finding the Fourth Proportional to 1,364.60, 1,883.10 and 898.52

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Solution

The fourth proportional to 1,364.60, 1,883.10 and 898.52 is: 1,239.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.60 : 1,883.10 = 898.52 : x
  2. Step 2: Convert to fraction form
    1,364.60/1,883.10 = 898.52/x
  3. Step 3: Cross multiply
    1,364.60x = 1,883.10 × 898.52
  4. Step 4: Simplify right side
    1,364.60x = 1,692,003.01
  5. Step 5: Solve for x
    x = 1,692,003.01/1,364.60
  6. Step 6: Final answer
    x = 1,239.93

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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.