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Finding the Fourth Proportional to 895.57, 1,342.93 and 456.98

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Solution

The fourth proportional to 895.57, 1,342.93 and 456.98 is: 685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.57 : 1,342.93 = 456.98 : x
  2. Step 2: Convert to fraction form
    895.57/1,342.93 = 456.98/x
  3. Step 3: Cross multiply
    895.57x = 1,342.93 × 456.98
  4. Step 4: Simplify right side
    895.57x = 613,685.44
  5. Step 5: Solve for x
    x = 613,685.44/895.57
  6. Step 6: Final answer
    x = 685.24

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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.