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Finding the Fourth Proportional to 895.98, 1,337.84 and 802.83

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Solution

The fourth proportional to 895.98, 1,337.84 and 802.83 is: 1,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.98 : 1,337.84 = 802.83 : x
  2. Step 2: Convert to fraction form
    895.98/1,337.84 = 802.83/x
  3. Step 3: Cross multiply
    895.98x = 1,337.84 × 802.83
  4. Step 4: Simplify right side
    895.98x = 1,074,061.43
  5. Step 5: Solve for x
    x = 1,074,061.43/895.98
  6. Step 6: Final answer
    x = 1,198.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.