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Finding the Fourth Proportional to 921, 1,381.50 and 874.86

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Solution

The fourth proportional to 921, 1,381.50 and 874.86 is: 1,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    921 : 1,381.50 = 874.86 : x
  2. Step 2: Convert to fraction form
    921/1,381.50 = 874.86/x
  3. Step 3: Cross multiply
    921x = 1,381.50 × 874.86
  4. Step 4: Simplify right side
    921x = 1,208,619.09
  5. Step 5: Solve for x
    x = 1,208,619.09/921
  6. Step 6: Final answer
    x = 1,312.29

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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.