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Finding the Fourth Proportional to 895.93, 1,343.67 and 402.06

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Solution

The fourth proportional to 895.93, 1,343.67 and 402.06 is: 602.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.93 : 1,343.67 = 402.06 : x
  2. Step 2: Convert to fraction form
    895.93/1,343.67 = 402.06/x
  3. Step 3: Cross multiply
    895.93x = 1,343.67 × 402.06
  4. Step 4: Simplify right side
    895.93x = 540,235.96
  5. Step 5: Solve for x
    x = 540,235.96/895.93
  6. Step 6: Final answer
    x = 602.99

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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.