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Finding the Fourth Proportional to 1,145.42, 1,717.28 and 364.97

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Solution

The fourth proportional to 1,145.42, 1,717.28 and 364.97 is: 547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.42 : 1,717.28 = 364.97 : x
  2. Step 2: Convert to fraction form
    1,145.42/1,717.28 = 364.97/x
  3. Step 3: Cross multiply
    1,145.42x = 1,717.28 × 364.97
  4. Step 4: Simplify right side
    1,145.42x = 626,753.81
  5. Step 5: Solve for x
    x = 626,753.81/1,145.42
  6. Step 6: Final answer
    x = 547.18

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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.