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Finding the Fourth Proportional to 895.00, 1,235.07 and 496.66

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Solution

The fourth proportional to 895.00, 1,235.07 and 496.66 is: 685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.00 : 1,235.07 = 496.66 : x
  2. Step 2: Convert to fraction form
    895.00/1,235.07 = 496.66/x
  3. Step 3: Cross multiply
    895.00x = 1,235.07 × 496.66
  4. Step 4: Simplify right side
    895.00x = 613,408.64
  5. Step 5: Solve for x
    x = 613,408.64/895.00
  6. Step 6: Final answer
    x = 685.37

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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.