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Finding the Fourth Proportional to 1,018.70, 1,528.84 and 470.94

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Solution

The fourth proportional to 1,018.70, 1,528.84 and 470.94 is: 706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.70 : 1,528.84 = 470.94 : x
  2. Step 2: Convert to fraction form
    1,018.70/1,528.84 = 470.94/x
  3. Step 3: Cross multiply
    1,018.70x = 1,528.84 × 470.94
  4. Step 4: Simplify right side
    1,018.70x = 719,991.91
  5. Step 5: Solve for x
    x = 719,991.91/1,018.70
  6. Step 6: Final answer
    x = 706.78

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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.