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Finding the Fourth Proportional to 874.99, 1,207.58 and 653.56

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Solution

The fourth proportional to 874.99, 1,207.58 and 653.56 is: 901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.99 : 1,207.58 = 653.56 : x
  2. Step 2: Convert to fraction form
    874.99/1,207.58 = 653.56/x
  3. Step 3: Cross multiply
    874.99x = 1,207.58 × 653.56
  4. Step 4: Simplify right side
    874.99x = 789,223.19
  5. Step 5: Solve for x
    x = 789,223.19/874.99
  6. Step 6: Final answer
    x = 901.98

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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.