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Finding the Fourth Proportional to 1,070.78, 1,477.69 and 628.69

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Solution

The fourth proportional to 1,070.78, 1,477.69 and 628.69 is: 867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.78 : 1,477.69 = 628.69 : x
  2. Step 2: Convert to fraction form
    1,070.78/1,477.69 = 628.69/x
  3. Step 3: Cross multiply
    1,070.78x = 1,477.69 × 628.69
  4. Step 4: Simplify right side
    1,070.78x = 929,006.43
  5. Step 5: Solve for x
    x = 929,006.43/1,070.78
  6. Step 6: Final answer
    x = 867.60

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