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Finding the Fourth Proportional to 647.06, 894.21 and 575.06

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Solution

The fourth proportional to 647.06, 894.21 and 575.06 is: 794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.06 : 894.21 = 575.06 : x
  2. Step 2: Convert to fraction form
    647.06/894.21 = 575.06/x
  3. Step 3: Cross multiply
    647.06x = 894.21 × 575.06
  4. Step 4: Simplify right side
    647.06x = 514,224.40
  5. Step 5: Solve for x
    x = 514,224.40/647.06
  6. Step 6: Final answer
    x = 794.71

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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.