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Finding the Fourth Proportional to 895.40, 1,235.46 and 541.24

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Solution

The fourth proportional to 895.40, 1,235.46 and 541.24 is: 746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.40 : 1,235.46 = 541.24 : x
  2. Step 2: Convert to fraction form
    895.40/1,235.46 = 541.24/x
  3. Step 3: Cross multiply
    895.40x = 1,235.46 × 541.24
  4. Step 4: Simplify right side
    895.40x = 668,680.37
  5. Step 5: Solve for x
    x = 668,680.37/895.40
  6. Step 6: Final answer
    x = 746.80

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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.