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Finding the Fourth Proportional to 874.42, 1,206.65 and 476.08

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Solution

The fourth proportional to 874.42, 1,206.65 and 476.08 is: 656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.42 : 1,206.65 = 476.08 : x
  2. Step 2: Convert to fraction form
    874.42/1,206.65 = 476.08/x
  3. Step 3: Cross multiply
    874.42x = 1,206.65 × 476.08
  4. Step 4: Simplify right side
    874.42x = 574,461.93
  5. Step 5: Solve for x
    x = 574,461.93/874.42
  6. Step 6: Final answer
    x = 656.96

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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.