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Finding the Fourth Proportional to 1,071.75, 1,607.04 and 421.77

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Solution

The fourth proportional to 1,071.75, 1,607.04 and 421.77 is: 632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.75 : 1,607.04 = 421.77 : x
  2. Step 2: Convert to fraction form
    1,071.75/1,607.04 = 421.77/x
  3. Step 3: Cross multiply
    1,071.75x = 1,607.04 × 421.77
  4. Step 4: Simplify right side
    1,071.75x = 677,801.26
  5. Step 5: Solve for x
    x = 677,801.26/1,071.75
  6. Step 6: Final answer
    x = 632.42

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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.