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Finding the Fourth Proportional to 895.30, 1,235.69 and 541.42

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Solution

The fourth proportional to 895.30, 1,235.69 and 541.42 is: 747.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.30 : 1,235.69 = 541.42 : x
  2. Step 2: Convert to fraction form
    895.30/1,235.69 = 541.42/x
  3. Step 3: Cross multiply
    895.30x = 1,235.69 × 541.42
  4. Step 4: Simplify right side
    895.30x = 669,027.28
  5. Step 5: Solve for x
    x = 669,027.28/895.30
  6. Step 6: Final answer
    x = 747.27

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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.