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Finding the Fourth Proportional to 895.73, 1,342.62 and 347.67

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Solution

The fourth proportional to 895.73, 1,342.62 and 347.67 is: 521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.73 : 1,342.62 = 347.67 : x
  2. Step 2: Convert to fraction form
    895.73/1,342.62 = 347.67/x
  3. Step 3: Cross multiply
    895.73x = 1,342.62 × 347.67
  4. Step 4: Simplify right side
    895.73x = 466,788.70
  5. Step 5: Solve for x
    x = 466,788.70/895.73
  6. Step 6: Final answer
    x = 521.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.