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Finding the Fourth Proportional to 1,018.45, 1,527.91 and 402.11

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Solution

The fourth proportional to 1,018.45, 1,527.91 and 402.11 is: 603.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.45 : 1,527.91 = 402.11 : x
  2. Step 2: Convert to fraction form
    1,018.45/1,527.91 = 402.11/x
  3. Step 3: Cross multiply
    1,018.45x = 1,527.91 × 402.11
  4. Step 4: Simplify right side
    1,018.45x = 614,387.89
  5. Step 5: Solve for x
    x = 614,387.89/1,018.45
  6. Step 6: Final answer
    x = 603.26

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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.