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Finding the Fourth Proportional to 1,070.66, 1,476.84 and 628.46

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Solution

The fourth proportional to 1,070.66, 1,476.84 and 628.46 is: 866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.66 : 1,476.84 = 628.46 : x
  2. Step 2: Convert to fraction form
    1,070.66/1,476.84 = 628.46/x
  3. Step 3: Cross multiply
    1,070.66x = 1,476.84 × 628.46
  4. Step 4: Simplify right side
    1,070.66x = 928,134.87
  5. Step 5: Solve for x
    x = 928,134.87/1,070.66
  6. Step 6: Final answer
    x = 866.88

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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.