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Finding the Fourth Proportional to 1,070.16, 1,476.96 and 604.56

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Solution

The fourth proportional to 1,070.16, 1,476.96 and 604.56 is: 834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.16 : 1,476.96 = 604.56 : x
  2. Step 2: Convert to fraction form
    1,070.16/1,476.96 = 604.56/x
  3. Step 3: Cross multiply
    1,070.16x = 1,476.96 × 604.56
  4. Step 4: Simplify right side
    1,070.16x = 892,910.94
  5. Step 5: Solve for x
    x = 892,910.94/1,070.16
  6. Step 6: Final answer
    x = 834.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.