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Finding the Fourth Proportional to 824.90, 1,237.35 and 812.10

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Solution

The fourth proportional to 824.90, 1,237.35 and 812.10 is: 1,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.90 : 1,237.35 = 812.10 : x
  2. Step 2: Convert to fraction form
    824.90/1,237.35 = 812.10/x
  3. Step 3: Cross multiply
    824.90x = 1,237.35 × 812.10
  4. Step 4: Simplify right side
    824.90x = 1,004,851.94
  5. Step 5: Solve for x
    x = 1,004,851.94/824.90
  6. Step 6: Final answer
    x = 1,218.15

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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.