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Finding the Fourth Proportional to 1,018.25, 1,527.38 and 368.99

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Solution

The fourth proportional to 1,018.25, 1,527.38 and 368.99 is: 553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.25 : 1,527.38 = 368.99 : x
  2. Step 2: Convert to fraction form
    1,018.25/1,527.38 = 368.99/x
  3. Step 3: Cross multiply
    1,018.25x = 1,527.38 × 368.99
  4. Step 4: Simplify right side
    1,018.25x = 563,578.46
  5. Step 5: Solve for x
    x = 563,578.46/1,018.25
  6. Step 6: Final answer
    x = 553.48

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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.