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Finding the Fourth Proportional to 895.25, 1,235.58 and 546.14

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Solution

The fourth proportional to 895.25, 1,235.58 and 546.14 is: 753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.25 : 1,235.58 = 546.14 : x
  2. Step 2: Convert to fraction form
    895.25/1,235.58 = 546.14/x
  3. Step 3: Cross multiply
    895.25x = 1,235.58 × 546.14
  4. Step 4: Simplify right side
    895.25x = 674,799.66
  5. Step 5: Solve for x
    x = 674,799.66/895.25
  6. Step 6: Final answer
    x = 753.76

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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.