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Finding the Fourth Proportional to 895.88, 1,344.36 and 571.36

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Solution

The fourth proportional to 895.88, 1,344.36 and 571.36 is: 857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.88 : 1,344.36 = 571.36 : x
  2. Step 2: Convert to fraction form
    895.88/1,344.36 = 571.36/x
  3. Step 3: Cross multiply
    895.88x = 1,344.36 × 571.36
  4. Step 4: Simplify right side
    895.88x = 768,113.53
  5. Step 5: Solve for x
    x = 768,113.53/895.88
  6. Step 6: Final answer
    x = 857.38

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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.