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Finding the Fourth Proportional to 895.62, 1,342.70 and 382.98

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Solution

The fourth proportional to 895.62, 1,342.70 and 382.98 is: 574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.62 : 1,342.70 = 382.98 : x
  2. Step 2: Convert to fraction form
    895.62/1,342.70 = 382.98/x
  3. Step 3: Cross multiply
    895.62x = 1,342.70 × 382.98
  4. Step 4: Simplify right side
    895.62x = 514,227.25
  5. Step 5: Solve for x
    x = 514,227.25/895.62
  6. Step 6: Final answer
    x = 574.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.