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Finding the Fourth Proportional to 874.34, 1,206.01 and 525.02

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Solution

The fourth proportional to 874.34, 1,206.01 and 525.02 is: 724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.34 : 1,206.01 = 525.02 : x
  2. Step 2: Convert to fraction form
    874.34/1,206.01 = 525.02/x
  3. Step 3: Cross multiply
    874.34x = 1,206.01 × 525.02
  4. Step 4: Simplify right side
    874.34x = 633,181.07
  5. Step 5: Solve for x
    x = 633,181.07/874.34
  6. Step 6: Final answer
    x = 724.19

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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.