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Finding the Fourth Proportional to 671.64, 1,007.54 and 584.91

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Solution

The fourth proportional to 671.64, 1,007.54 and 584.91 is: 877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.64 : 1,007.54 = 584.91 : x
  2. Step 2: Convert to fraction form
    671.64/1,007.54 = 584.91/x
  3. Step 3: Cross multiply
    671.64x = 1,007.54 × 584.91
  4. Step 4: Simplify right side
    671.64x = 589,317.30
  5. Step 5: Solve for x
    x = 589,317.30/671.64
  6. Step 6: Final answer
    x = 877.43

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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.