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Finding the Fourth Proportional to 1,153.92, 1,731.54 and 606.60

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Solution

The fourth proportional to 1,153.92, 1,731.54 and 606.60 is: 910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.92 : 1,731.54 = 606.60 : x
  2. Step 2: Convert to fraction form
    1,153.92/1,731.54 = 606.60/x
  3. Step 3: Cross multiply
    1,153.92x = 1,731.54 × 606.60
  4. Step 4: Simplify right side
    1,153.92x = 1,050,352.16
  5. Step 5: Solve for x
    x = 1,050,352.16/1,153.92
  6. Step 6: Final answer
    x = 910.25

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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.