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Finding the Fourth Proportional to 874.68, 1,312.56 and 464.12

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Solution

The fourth proportional to 874.68, 1,312.56 and 464.12 is: 696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.68 : 1,312.56 = 464.12 : x
  2. Step 2: Convert to fraction form
    874.68/1,312.56 = 464.12/x
  3. Step 3: Cross multiply
    874.68x = 1,312.56 × 464.12
  4. Step 4: Simplify right side
    874.68x = 609,185.35
  5. Step 5: Solve for x
    x = 609,185.35/874.68
  6. Step 6: Final answer
    x = 696.47

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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.