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Finding the Fourth Proportional to 1,070.18, 1,476.61 and 650.75

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Solution

The fourth proportional to 1,070.18, 1,476.61 and 650.75 is: 897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.18 : 1,476.61 = 650.75 : x
  2. Step 2: Convert to fraction form
    1,070.18/1,476.61 = 650.75/x
  3. Step 3: Cross multiply
    1,070.18x = 1,476.61 × 650.75
  4. Step 4: Simplify right side
    1,070.18x = 960,906.02
  5. Step 5: Solve for x
    x = 960,906.02/1,070.18
  6. Step 6: Final answer
    x = 897.90

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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.