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Finding the Fourth Proportional to 1,018.42, 1,527.41 and 369.16

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Solution

The fourth proportional to 1,018.42, 1,527.41 and 369.16 is: 553.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.42 : 1,527.41 = 369.16 : x
  2. Step 2: Convert to fraction form
    1,018.42/1,527.41 = 369.16/x
  3. Step 3: Cross multiply
    1,018.42x = 1,527.41 × 369.16
  4. Step 4: Simplify right side
    1,018.42x = 563,853.70
  5. Step 5: Solve for x
    x = 563,853.70/1,018.42
  6. Step 6: Final answer
    x = 553.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.