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Finding the Fourth Proportional to 895.86, 1,344.04 and 408.50

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Solution

The fourth proportional to 895.86, 1,344.04 and 408.50 is: 612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.86 : 1,344.04 = 408.50 : x
  2. Step 2: Convert to fraction form
    895.86/1,344.04 = 408.50/x
  3. Step 3: Cross multiply
    895.86x = 1,344.04 × 408.50
  4. Step 4: Simplify right side
    895.86x = 549,040.34
  5. Step 5: Solve for x
    x = 549,040.34/895.86
  6. Step 6: Final answer
    x = 612.86

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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.