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Finding the Fourth Proportional to 1,153.73, 1,730.55 and 373.70

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Solution

The fourth proportional to 1,153.73, 1,730.55 and 373.70 is: 560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.73 : 1,730.55 = 373.70 : x
  2. Step 2: Convert to fraction form
    1,153.73/1,730.55 = 373.70/x
  3. Step 3: Cross multiply
    1,153.73x = 1,730.55 × 373.70
  4. Step 4: Simplify right side
    1,153.73x = 646,706.54
  5. Step 5: Solve for x
    x = 646,706.54/1,153.73
  6. Step 6: Final answer
    x = 560.54

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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.