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Finding the Fourth Proportional to 807.64, 1,114.46 and 476

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Solution

The fourth proportional to 807.64, 1,114.46 and 476 is: 656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.64 : 1,114.46 = 476 : x
  2. Step 2: Convert to fraction form
    807.64/1,114.46 = 476/x
  3. Step 3: Cross multiply
    807.64x = 1,114.46 × 476
  4. Step 4: Simplify right side
    807.64x = 530,482.96
  5. Step 5: Solve for x
    x = 530,482.96/807.64
  6. Step 6: Final answer
    x = 656.83

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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.