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Finding the Fourth Proportional to 895.29, 1,340.39 and 785.01

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Solution

The fourth proportional to 895.29, 1,340.39 and 785.01 is: 1,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.29 : 1,340.39 = 785.01 : x
  2. Step 2: Convert to fraction form
    895.29/1,340.39 = 785.01/x
  3. Step 3: Cross multiply
    895.29x = 1,340.39 × 785.01
  4. Step 4: Simplify right side
    895.29x = 1,052,215.63
  5. Step 5: Solve for x
    x = 1,052,215.63/895.29
  6. Step 6: Final answer
    x = 1,175.28

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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.