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Finding the Fourth Proportional to 1,153.67, 1,730.12 and 373.47

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Solution

The fourth proportional to 1,153.67, 1,730.12 and 373.47 is: 560.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.67 : 1,730.12 = 373.47 : x
  2. Step 2: Convert to fraction form
    1,153.67/1,730.12 = 373.47/x
  3. Step 3: Cross multiply
    1,153.67x = 1,730.12 × 373.47
  4. Step 4: Simplify right side
    1,153.67x = 646,142.36
  5. Step 5: Solve for x
    x = 646,142.36/1,153.67
  6. Step 6: Final answer
    x = 560.07

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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.