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Finding the Fourth Proportional to 874.34, 1,206.61 and 476.01

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Solution

The fourth proportional to 874.34, 1,206.61 and 476.01 is: 656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.34 : 1,206.61 = 476.01 : x
  2. Step 2: Convert to fraction form
    874.34/1,206.61 = 476.01/x
  3. Step 3: Cross multiply
    874.34x = 1,206.61 × 476.01
  4. Step 4: Simplify right side
    874.34x = 574,360.92
  5. Step 5: Solve for x
    x = 574,360.92/874.34
  6. Step 6: Final answer
    x = 656.91

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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.