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Finding the Fourth Proportional to 874.36, 1,312.32 and 657.28

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Solution

The fourth proportional to 874.36, 1,312.32 and 657.28 is: 986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.36 : 1,312.32 = 657.28 : x
  2. Step 2: Convert to fraction form
    874.36/1,312.32 = 657.28/x
  3. Step 3: Cross multiply
    874.36x = 1,312.32 × 657.28
  4. Step 4: Simplify right side
    874.36x = 862,561.69
  5. Step 5: Solve for x
    x = 862,561.69/874.36
  6. Step 6: Final answer
    x = 986.51

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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.