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Finding the Fourth Proportional to 895.29, 1,343.36 and 505.72

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Solution

The fourth proportional to 895.29, 1,343.36 and 505.72 is: 758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.29 : 1,343.36 = 505.72 : x
  2. Step 2: Convert to fraction form
    895.29/1,343.36 = 505.72/x
  3. Step 3: Cross multiply
    895.29x = 1,343.36 × 505.72
  4. Step 4: Simplify right side
    895.29x = 679,364.02
  5. Step 5: Solve for x
    x = 679,364.02/895.29
  6. Step 6: Final answer
    x = 758.82

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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.