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Finding the Fourth Proportional to 874.89, 1,312.07 and 509.31

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Solution

The fourth proportional to 874.89, 1,312.07 and 509.31 is: 763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.89 : 1,312.07 = 509.31 : x
  2. Step 2: Convert to fraction form
    874.89/1,312.07 = 509.31/x
  3. Step 3: Cross multiply
    874.89x = 1,312.07 × 509.31
  4. Step 4: Simplify right side
    874.89x = 668,247.83
  5. Step 5: Solve for x
    x = 668,247.83/874.89
  6. Step 6: Final answer
    x = 763.81

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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.