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Finding the Fourth Proportional to 1,378.85, 1,902.53 and 874.86

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Solution

The fourth proportional to 1,378.85, 1,902.53 and 874.86 is: 1,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.85 : 1,902.53 = 874.86 : x
  2. Step 2: Convert to fraction form
    1,378.85/1,902.53 = 874.86/x
  3. Step 3: Cross multiply
    1,378.85x = 1,902.53 × 874.86
  4. Step 4: Simplify right side
    1,378.85x = 1,664,443.02
  5. Step 5: Solve for x
    x = 1,664,443.02/1,378.85
  6. Step 6: Final answer
    x = 1,207.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.