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Finding the Fourth Proportional to 775.64, 1,070.29 and 460.91

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Solution

The fourth proportional to 775.64, 1,070.29 and 460.91 is: 636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.64 : 1,070.29 = 460.91 : x
  2. Step 2: Convert to fraction form
    775.64/1,070.29 = 460.91/x
  3. Step 3: Cross multiply
    775.64x = 1,070.29 × 460.91
  4. Step 4: Simplify right side
    775.64x = 493,310.62
  5. Step 5: Solve for x
    x = 493,310.62/775.64
  6. Step 6: Final answer
    x = 636.00

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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.