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Finding the Fourth Proportional to 1,070.14, 1,476.48 and 628.06

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Solution

The fourth proportional to 1,070.14, 1,476.48 and 628.06 is: 866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.14 : 1,476.48 = 628.06 : x
  2. Step 2: Convert to fraction form
    1,070.14/1,476.48 = 628.06/x
  3. Step 3: Cross multiply
    1,070.14x = 1,476.48 × 628.06
  4. Step 4: Simplify right side
    1,070.14x = 927,318.03
  5. Step 5: Solve for x
    x = 927,318.03/1,070.14
  6. Step 6: Final answer
    x = 866.54

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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.