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Finding the Fourth Proportional to 657.06, 900.30 and 647.34

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Solution

The fourth proportional to 657.06, 900.30 and 647.34 is: 886.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.06 : 900.30 = 647.34 : x
  2. Step 2: Convert to fraction form
    657.06/900.30 = 647.34/x
  3. Step 3: Cross multiply
    657.06x = 900.30 × 647.34
  4. Step 4: Simplify right side
    657.06x = 582,800.20
  5. Step 5: Solve for x
    x = 582,800.20/657.06
  6. Step 6: Final answer
    x = 886.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.