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Finding the Fourth Proportional to 876.98, 1,314.87 and 389.77

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Solution

The fourth proportional to 876.98, 1,314.87 and 389.77 is: 584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.98 : 1,314.87 = 389.77 : x
  2. Step 2: Convert to fraction form
    876.98/1,314.87 = 389.77/x
  3. Step 3: Cross multiply
    876.98x = 1,314.87 × 389.77
  4. Step 4: Simplify right side
    876.98x = 512,492.13
  5. Step 5: Solve for x
    x = 512,492.13/876.98
  6. Step 6: Final answer
    x = 584.38

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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.