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Finding the Fourth Proportional to 1,018.72, 1,527.22 and 434.17

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Solution

The fourth proportional to 1,018.72, 1,527.22 and 434.17 is: 650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.72 : 1,527.22 = 434.17 : x
  2. Step 2: Convert to fraction form
    1,018.72/1,527.22 = 434.17/x
  3. Step 3: Cross multiply
    1,018.72x = 1,527.22 × 434.17
  4. Step 4: Simplify right side
    1,018.72x = 663,073.11
  5. Step 5: Solve for x
    x = 663,073.11/1,018.72
  6. Step 6: Final answer
    x = 650.89

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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.